Integration with Wolfram|Alpha

Basic Examples 

To use free-form input, press at the beginning of an input cell. When shows up, start typing as you would say it.

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X \!\(\* NamespaceBox["WolframAlphaQueryResults", DynamicModuleBox[{Typeset`q$$ = "sum integers from 1 to 100", Typeset`opts$$ = { AppearanceElements -> { "Extrusion", "Warnings", "Assumptions", "Pods"}, Asynchronous -> All, Method -> {"ExtrusionChosen" -> { "Result", "Sum", 1, 1, "Input", "Sum[i, {i, 1, 100}]"}, "Formats" -> { "cell", "minput", "moutput", "msound", "dataformats"}}}, Typeset`elements$$ = { "Extrusion", "Warnings", "Assumptions", "Pods"}, pod1$$ = XMLElement[ "pod", {"title" -> "Sum", "scanner" -> "Sum", "id" -> "Result", "position" -> "100", "error" -> "false", "numsubpods" -> "1", "primary" -> "true"}, { XMLElement["subpod", {"title" -> ""}, { XMLElement["minput", {}, {"Sum[i, {i, 1, 100}]"}], XMLElement["moutput", {}, {"5050"}], XMLElement["cell", {"compressed" -> False, "string" -> True}, { Cell[ BoxData[ FormBox[ RowBox[{ FormBox[ TagBox[ RowBox[{ UnderoverscriptBox["\[Sum]", RowBox[{"i", "=", "1"}], "100"], "i"}], HoldForm], TraditionalForm], "==", "5050"}], TraditionalForm]], "Output"]}], XMLElement[ "dataformats", {}, { "computabledata,formatteddata,formuladata"}]}]}], pod2$$ = XMLElement[ "pod", {"title" -> "Partial sums", "scanner" -> "Sum", "id" -> "PartialSums", "position" -> "200", "error" -> "false", "numsubpods" -> "1"}, { XMLElement["subpod", {"title" -> ""}, { XMLElement[ "minput", {}, { "ListLinePlot[Accumulate[Table[i, {i, 1, 100}]]]"}], XMLElement["cell", {"compressed" -> False, "string" -> True}, { Cell[ BoxData[ FormBox[ GraphicsBox[{{{}, {}, { Hue[0.67, 0.6, 0.6], Directive[ RGBColor[0.24720000000000014`, 0.24, 0.6], AbsoluteThickness[1]], LineBox[CompressedData[" 1:eJxd001IVFEYh/FTq5ZDtYhooSEhMcSU32Z51NHKrCa1yURi0iSQQAwrJMRT GU1holY6muloVvZlU0JEuLi0buGipUgLFy5cDLVxVZb/p4UzII8/3nkP93Ln pje2VjdvNsZc/Pv3r/okizfWWGVLSndQH82g2+m+lO/l0F20iKbRUrpbdRUb z3XH8R4cwpm4Bu9VvbDdtP6PX7b1Kdd1ngboBbpfTWvCB9RIM87i/Es4m/Nb MPf54zLOVeOtOI/vt+F8zruCC9RQOy5Uk1e5n4Ocd93+Wf/gSAffP6QGbuDD qq8TF9MualXnKI7eZF6ixm4xx4nbzEvV+W7mePUO8zI18y5zHIkyD3I/95jj 5fvMy9X8Hua47wFzfifJXubY38f8iLqEHY73Mz/K9QwwxxkPmR9TV7DDnx8x r1Sjj/V8HG4YZM7vNntIz6sL+2LMq7h+7PD3YZ73CXluhDmefsLzx7FR5ifV nqecf0rtHmOO3Thz3iMbp/gr/v+eVUyoHv6GzWm1dpJ9vIgdbnnGPl7FplqN TrGPdz5nH89gDwdfsM97v4AtvvaSfbx1mn2cwKZWDb1iH//EDg++Zh8XvWH/ jLqELe59yz4ufMc+XsYmrMZm2MeV79nHv7GH6xPsn1U/YYu3fWAft2EPz2NT pwY+so/7scO/sIfDs+yfU7/M2jX6FdtD "]]}}}, {AspectRatio -> NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> True, AxesOrigin -> {1, 0}, BaseStyle -> {CellBaseline -> Baseline}, FrameTicksStyle -> Directive[ FontFamily -> "Times", FontSize -> 10], ImageSize -> 200, LabelStyle -> { FontFamily -> "Verdana", FontSize -> 10}, PlotRange -> {{0., 100.}, {0., 5050.}}, PlotRangeClipping -> True, PlotRangePadding -> { Scaled[0.02], Scaled[0.02]}, Ticks -> {Automatic, Automatic}, TicksStyle -> Directive[ FontFamily -> "Times", FontSize -> 10]}], TraditionalForm]], "Output"]}], XMLElement["dataformats", {}, {}]}]}], aux1$$ = { True, False, {False}}, aux2$$ = {True, False, {False}}, Typeset`asyncpods$$ = {}, Typeset`nonpods$$ = {}, Typeset`initdone$$ = True, Typeset`queryinfo$$ = { "success" -> "true", "error" -> "false", "numpods" -> "2", "datatypes" -> "Sum", "timedout" -> "", "timing" -> "0.644", "parsetiming" -> "0.527", "parsetimedout" -> "false", "recalculate" -> "", "version" -> "1.1"}, Typeset`sessioninfo$$ = { "TimeZone" -> -5., "Date" -> {2010, 11, 4, 14, 11, 17.4373194`8.994054665403047}, "Line" -> 2, "SessionID" -> 22923629961230013544}, Typeset`showpods$$ = {1, 2}, Typeset`failedpods$$ = {}, Typeset`chosen$$ = { "Result", "Sum", 1, 1, "Input", "Sum[i, {i, 1, 100}]"}, Typeset`open$$ = False, Typeset`newq$$ = "sum integers from 1 to 100"}, DynamicBox[ToBoxes[ AlphaIntegration`FormatAlphaResults[ Dynamic[{1, {pod1$$, pod2$$}, {aux1$$, aux2$$}, Typeset`chosen$$, Typeset`open$$, Typeset`elements$$, Typeset`q$$, Typeset`opts$$, Typeset`nonpods$$, Typeset`queryinfo$$, Typeset`sessioninfo$$, Typeset`showpods$$, Typeset`failedpods$$, Typeset`newq$$}]], StandardForm], ImageSizeCache->{183., {48., 18.}}, TrackedSymbols:>{Typeset`showpods$$, Typeset`failedpods$$}], DynamicModuleValues:>{}, Initialization:>If[ Not[Typeset`initdone$$], WolframAlphaClient`Private`doAsyncUpdates[ Hold[{pod1$$, pod2$$}], Typeset`asyncpods$$, Dynamic[Typeset`failedpods$$]]; Typeset`asyncpods$$ = {}; Typeset`\ initdone$$ = True], SynchronousInitialization->False], BaseStyle->{Deployed -> True}, DeleteWithContents->True, Editable->False, SelectWithContents->True]\)

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X \!\(\* NamespaceBox["WolframAlphaQueryResults", DynamicModuleBox[{Typeset`q$$ = "expand (a+b)^5", Typeset`opts$$ = { AppearanceElements -> { "Extrusion", "Warnings", "Assumptions", "Pods"}, Asynchronous -> All, Method -> {"ExtrusionChosen" -> { "Result", "Result", 1, 1, "Input", "Expand[(a + b)^5]"}, "Formats" -> { "cell", "minput", "moutput", "msound", "dataformats"}}}, Typeset`elements$$ = { "Extrusion", "Warnings", "Assumptions", "Pods"}, pod1$$ = XMLElement[ "pod", {"title" -> "Input interpretation", "scanner" -> "Identity", "id" -> "Input", "position" -> "100", "error" -> "false", "numsubpods" -> "1"}, { XMLElement["subpod", {"title" -> ""}, { XMLElement["minput", {}, {}], XMLElement["cell", {"compressed" -> False, "string" -> True}, { Cell[ BoxData[ FormBox[ TagBox[ TagBox[ GridBox[{{ StyleBox[ TagBox[ GridBox[{{ StyleBox["\"expand\"", { LineIndent -> 0, LineSpacing -> {0.9, 0, 1.5}}], StyleBox[ SuperscriptBox[ RowBox[{"(", RowBox[{"a", "+", "b"}], ")"}], "5"], ScriptLevel -> 0, StripOnInput -> False]}}, GridBoxBackground -> {"Columns" -> { GrayLevel[0.949], None}, "Rows" -> {{None}}}, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, ColumnsEqual -> False, RowsEqual -> False, GridBoxDividers -> {"Columns" -> { GrayLevel[0.84], GrayLevel[0.84], GrayLevel[0.84]}, "Rows" -> {{ GrayLevel[0.84]}}, "RowsIndexed" -> { 1 -> GrayLevel[0.84], -1 -> GrayLevel[0.84]}}, GridBoxSpacings -> { "Columns" -> {2, 2, 2}, "Rows" -> {{1}}}, GridBoxAlignment -> { "Columns" -> {{Left}}, "Rows" -> {{Baseline}}}, AllowScriptLevelChange -> False], TagBoxWrapper["Separator" -> " | "]], LineSpacing -> {1, 0, 1.5}, LineIndent -> 0]}}, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, ColumnsEqual -> False, RowsEqual -> False, GridBoxSpacings -> {"Columns" -> {{ AbsoluteThickness[-1]}}, "Rows" -> {{0}}}, AllowScriptLevelChange -> False], TagBoxWrapper["Separator" -> " | "]], PolynomialForm[#, TraditionalOrder -> False]& ], TraditionalForm]], "Output"]}], XMLElement["dataformats", {}, {}]}]}], pod2$$ = XMLElement[ "pod", {"title" -> "Result", "scanner" -> "Expand", "id" -> "Result", "position" -> "200", "error" -> "false", "numsubpods" -> "1", "primary" -> "true"}, { XMLElement["subpod", {"title" -> ""}, { XMLElement["minput", {}, {"Expand[(a + b)^5]"}], XMLElement[ "moutput", {}, { "a^5 + 5 a^4 b + 10 a^3 b^2 + 10 a^2 b^3 + 5 a b^4 + b^5"}], XMLElement["cell", {"compressed" -> False, "string" -> True}, { Cell[ BoxData[ FormBox[ TagBox[ GridBox[{{ RowBox[{ SuperscriptBox["a", "5"], "+", RowBox[{"5", " ", SuperscriptBox["a", "4"], " ", "b"}], "+", RowBox[{"10", " ", SuperscriptBox["a", "3"], " ", SuperscriptBox["b", "2"]}], "+", RowBox[{"10", " ", SuperscriptBox["a", "2"], " ", SuperscriptBox["b", "3"]}], "+", RowBox[{"5", " ", "a", " ", SuperscriptBox["b", "4"]}], "+", SuperscriptBox["b", "5"]}]}, { StyleBox["\"(6 terms)\"", GrayLevel[0.6], StripOnInput -> False]}}, GridBoxAlignment -> {"Columns" -> {{Left}}}, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], "Column"], TraditionalForm]], "Output"]}], XMLElement[ "dataformats", {}, { "computabledata,formatteddata,formuladata"}]}], XMLElement["states", {"count" -> "1"}, { XMLElement[ "state", { "name" -> "Show steps", "input" -> "Result_Show steps"}, {}]}]}], aux1$$ = { True, False, {False}}, aux2$$ = {True, False, {False}}, Typeset`asyncpods$$ = {}, Typeset`nonpods$$ = {}, Typeset`initdone$$ = True, Typeset`queryinfo$$ = { "success" -> "true", "error" -> "false", "numpods" -> "2", "datatypes" -> "Expand", "timedout" -> "", "timing" -> "0.579", "parsetiming" -> "0.44", "parsetimedout" -> "false", "recalculate" -> "", "version" -> "1.1"}, Typeset`sessioninfo$$ = { "TimeZone" -> -5., "Date" -> {2010, 11, 5, 14, 33, 20.8085892`9.070817571119646}, "Line" -> 22, "SessionID" -> 22924201434736041020}, Typeset`showpods$$ = {1, 2}, Typeset`failedpods$$ = {}, Typeset`chosen$$ = { "Result", "Result", 1, 1, "Input", "Expand[(a + b)^5]"}, Typeset`open$$ = False, Typeset`newq$$ = "expand (a+b)^5"}, DynamicBox[ToBoxes[ AlphaIntegration`FormatAlphaResults[ Dynamic[{1, {pod1$$, pod2$$}, {aux1$$, aux2$$}, Typeset`chosen$$, Typeset`open$$, Typeset`elements$$, Typeset`q$$, Typeset`opts$$, Typeset`nonpods$$, Typeset`queryinfo$$, Typeset`sessioninfo$$, Typeset`showpods$$, Typeset`failedpods$$, Typeset`newq$$}]], StandardForm], ImageSizeCache->{156., {48., 18.}}, TrackedSymbols:>{Typeset`showpods$$, Typeset`failedpods$$}], DynamicModuleValues:>{}, Initialization:>If[ Not[Typeset`initdone$$], WolframAlphaClient`Private`doAsyncUpdates[ Hold[{pod1$$, pod2$$}], Typeset`asyncpods$$, Dynamic[Typeset`failedpods$$]]; Typeset`asyncpods$$ = {}; Typeset`\ initdone$$ = True], SynchronousInitialization->False], BaseStyle->{Deployed -> True}, DeleteWithContents->True, Editable->False, SelectWithContents->True]\)

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X \!\(\* NamespaceBox["WolframAlphaQueryResults", DynamicModuleBox[{Typeset`q$$ = "factor -2 a+2 x+a x-x^2+a x^2-x^3", Typeset`opts$$ = { AppearanceElements -> { "Extrusion", "Warnings", "Assumptions", "Pods"}, Asynchronous -> All, Method -> {"ExtrusionChosen" -> { "Result", "Results", 1, 1, "Input", "Factor[-2 a + 2 x + a x - x^2 + a x^2 - x^3]"}, "Formats" -> { "cell", "minput", "moutput", "msound", "dataformats"}}}, Typeset`elements$$ = { "Extrusion", "Warnings", "Assumptions", "Pods"}, pod1$$ = XMLElement[ "pod", {"title" -> "Input interpretation", "scanner" -> "Identity", "id" -> "Input", "position" -> "100", "error" -> "false", "numsubpods" -> "1"}, { XMLElement["subpod", {"title" -> ""}, { XMLElement["minput", {}, {}], XMLElement["cell", {"compressed" -> False, "string" -> True}, { Cell[ BoxData[ FormBox[ TagBox[ TagBox[ GridBox[{{ StyleBox[ TagBox[ GridBox[{{ StyleBox["\"factor\"", { LineIndent -> 0, LineSpacing -> {0.9, 0, 1.5}}], StyleBox[ RowBox[{ RowBox[{ RowBox[{"-", "2"}], " ", "a"}], "+", RowBox[{"2", " ", "x"}], "+", RowBox[{"a", " ", "x"}], "-", SuperscriptBox["x", "2"], "+", RowBox[{"a", " ", SuperscriptBox["x", "2"]}], "-", SuperscriptBox["x", "3"]}], ScriptLevel -> 0, StripOnInput -> False]}}, GridBoxBackground -> {"Columns" -> { GrayLevel[0.949], None}, "Rows" -> {{None}}}, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, ColumnsEqual -> False, RowsEqual -> False, GridBoxDividers -> {"Columns" -> { GrayLevel[0.84], GrayLevel[0.84], GrayLevel[0.84]}, "Rows" -> {{ GrayLevel[0.84]}}, "RowsIndexed" -> { 1 -> GrayLevel[0.84], -1 -> GrayLevel[0.84]}}, GridBoxSpacings -> { "Columns" -> {2, 2, 2}, "Rows" -> {{1}}}, GridBoxAlignment -> { "Columns" -> {{Left}}, "Rows" -> {{Baseline}}}, AllowScriptLevelChange -> False], TagBoxWrapper["Separator" -> " | "]], LineSpacing -> {1, 0, 1.5}, LineIndent -> 0]}}, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, ColumnsEqual -> False, RowsEqual -> False, GridBoxSpacings -> {"Columns" -> {{ AbsoluteThickness[-1]}}, "Rows" -> {{0}}}, AllowScriptLevelChange -> False], TagBoxWrapper["Separator" -> " | "]], PolynomialForm[#, TraditionalOrder -> False]& ], TraditionalForm]], "Output"]}], XMLElement["dataformats", {}, {}]}]}], pod2$$ = XMLElement[ "pod", {"title" -> "Result", "scanner" -> "Factor", "id" -> "Result", "position" -> "200", "error" -> "false", "numsubpods" -> "1", "primary" -> "true"}, { XMLElement["subpod", {"title" -> ""}, { XMLElement[ "minput", {}, { "Factor[-2 a + 2 x + a x - x^2 + a x^2 - x^3]"}], XMLElement["moutput", {}, {"(a - x) (-1 + x) (2 + x)"}], XMLElement["cell", {"compressed" -> False, "string" -> True}, { Cell[ BoxData[ FormBox[ RowBox[{ RowBox[{"(", RowBox[{"x", "-", "1"}], ")"}], " ", RowBox[{"(", RowBox[{"x", "+", "2"}], ")"}], " ", RowBox[{"(", RowBox[{"a", "-", "x"}], ")"}]}], TraditionalForm]], "Output"]}], XMLElement[ "dataformats", {}, { "computabledata,formatteddata,formuladata"}]}]}], aux1$$ = { True, False, {False}}, aux2$$ = {True, False, {False}}, Typeset`asyncpods$$ = {}, Typeset`nonpods$$ = {}, Typeset`initdone$$ = True, Typeset`queryinfo$$ = { "success" -> "true", "error" -> "false", "numpods" -> "2", "datatypes" -> "Factor", "timedout" -> "", "timing" -> "1.295", "parsetiming" -> "1.15", "parsetimedout" -> "false", "recalculate" -> "", "version" -> "1.1"}, Typeset`sessioninfo$$ = { "TimeZone" -> -5., "Date" -> {2010, 11, 5, 14, 38, 18.6123666`9.022376538126643}, "Line" -> 35, "SessionID" -> 22924201434736041020}, Typeset`showpods$$ = {1, 2}, Typeset`failedpods$$ = {}, Typeset`chosen$$ = { "Result", "Results", 1, 1, "Input", "Factor[-2 a + 2 x + a x - x^2 + a x^2 - x^3]"}, Typeset`open$$ = False, Typeset`newq$$ = "factor -2 a+2 x+a x-x^2+a x^2-x^3"}, DynamicBox[ToBoxes[ AlphaIntegration`FormatAlphaResults[ Dynamic[{1, {pod1$$, pod2$$}, {aux1$$, aux2$$}, Typeset`chosen$$, Typeset`open$$, Typeset`elements$$, Typeset`q$$, Typeset`opts$$, Typeset`nonpods$$, Typeset`queryinfo$$, Typeset`sessioninfo$$, Typeset`showpods$$, Typeset`failedpods$$, Typeset`newq$$}]], StandardForm], ImageSizeCache->{356., {48., 18.}}, TrackedSymbols:>{Typeset`showpods$$, Typeset`failedpods$$}], DynamicModuleValues:>{}, Initialization:>If[ Not[Typeset`initdone$$], WolframAlphaClient`Private`doAsyncUpdates[ Hold[{pod1$$, pod2$$}], Typeset`asyncpods$$, Dynamic[Typeset`failedpods$$]]; Typeset`asyncpods$$ = {}; Typeset`\ initdone$$ = True], SynchronousInitialization->False], BaseStyle->{Deployed -> True}, DeleteWithContents->True, Editable->False, SelectWithContents->True]\)

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X \!\(\* NamespaceBox["WolframAlphaQueryResults", DynamicModuleBox[{Typeset`q$$ = "pi 200 digits", Typeset`opts$$ = { AppearanceElements -> { "Extrusion", "Warnings", "Assumptions", "Pods"}, Asynchronous -> All, Method -> {"ExtrusionChosen" -> { "Input", "Input", 1, 1, "Input", "N[Pi, 200]"}, "Formats" -> { "cell", "minput", "moutput", "msound", "dataformats"}}}, Typeset`elements$$ = { "Extrusion", "Warnings", "Assumptions", "Pods"}, pod1$$ = XMLElement[ "pod", {"title" -> "Input", "scanner" -> "Identity", "id" -> "Input", "position" -> "100", "error" -> "false", "numsubpods" -> "1"}, { XMLElement["subpod", {"title" -> ""}, { XMLElement["minput", {}, {"N[Pi, 200]"}], XMLElement["cell", {"compressed" -> False, "string" -> True}, { Cell[ BoxData[ FormBox[ TagBox[ TagBox[ GridBox[{{ StyleBox[ TagBox[ GridBox[{{ StyleBox["\[Pi]", {LineIndent -> 0, LineSpacing -> {0.9, 0, 1.5}}], TemplateBox[{"200", StyleBox["\"digits\"", LinebreakAdjustments -> {1, 100, 1, 0, 100}, LineIndent -> 0, GrayLevel[0.6], StripOnInput -> False]}, "Row", DisplayFunction -> (RowBox[{#, " ", #2}]& ), InterpretationFunction -> (RowBox[{ StyleBox["Row", FontFamily -> "Bitstream Vera Sans", FontSize -> -1 + Inherited], "[", RowBox[{ RowBox[{"{", RowBox[{#, ",", #2}], "}"}], ",", "\" \""}], "]"}]& )]}}, GridBoxBackground -> {"Columns" -> { GrayLevel[0.949], None}, "Rows" -> {{None}}}, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, ColumnsEqual -> False, RowsEqual -> False, GridBoxDividers -> {"Columns" -> { GrayLevel[0.84], GrayLevel[0.84], GrayLevel[0.84]}, "Rows" -> {{ GrayLevel[0.84]}}, "RowsIndexed" -> { 1 -> GrayLevel[0.84], -1 -> GrayLevel[0.84]}}, GridBoxSpacings -> { "Columns" -> {2, 2, 2}, "Rows" -> {{1}}}, GridBoxAlignment -> { "Columns" -> {{Left}}, "Rows" -> {{Baseline}}}, AllowScriptLevelChange -> False], TagBoxWrapper["Separator" -> " | "]], LineSpacing -> {1, 0, 1.5}, LineIndent -> 0]}}, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, ColumnsEqual -> False, RowsEqual -> False, GridBoxSpacings -> {"Columns" -> {{ AbsoluteThickness[-1]}}, "Rows" -> {{0}}}, AllowScriptLevelChange -> False], TagBoxWrapper["Separator" -> " | "]], PolynomialForm[#, TraditionalOrder -> False]& ], TraditionalForm]], "Output"]}], XMLElement[ "dataformats", {}, { "computabledata,formatteddata,formuladata"}]}]}], pod2$$ = XMLElement[ "pod", {"title" -> "Result", "scanner" -> "Numeric", "id" -> "Result", "position" -> "200", "error" -> "false", "numsubpods" -> "1", "primary" -> "true"}, { XMLElement["subpod", {"title" -> ""}, { XMLElement[ "moutput", {}, { "3.1415926535897932384626433832795028841971693993751058209749\ 4459230781640628620899862803482534211706798214808651328230664709384460\ 9550582231725359408128481117450284102701938521105559644622948954930381\ 96"}], XMLElement["cell", {"compressed" -> False, "string" -> True}, { Cell[ BoxData[ FormBox["3.\ 1415926535897932384626433832795028841971693993751058209749445923078164\ 0628620899862803482534211706798214808651328230664709384460955058223172\ 5359408128481117450284102701938521105559644622948954930381964428810975\ 665933446128475648842`200.", TraditionalForm]], "Output"]}], XMLElement[ "dataformats", {}, { "computabledata,formatteddata,numberdata"}]}]}], aux1$$ = { True, False, {False}}, aux2$$ = {True, False, {False}}, Typeset`asyncpods$$ = {}, Typeset`nonpods$$ = {}, Typeset`initdone$$ = True, Typeset`queryinfo$$ = { "success" -> "true", "error" -> "false", "numpods" -> "2", "datatypes" -> "", "timedout" -> "", "timing" -> "0.377", "parsetiming" -> "0.223", "parsetimedout" -> "false", "recalculate" -> "", "version" -> "1.1"}, Typeset`sessioninfo$$ = { "TimeZone" -> -6., "Date" -> {2010, 11, 10, 22, 53, 53.3332893`9.479573213972623}, "Line" -> 42, "SessionID" -> 22927196902227628400}, Typeset`showpods$$ = {1, 2}, Typeset`failedpods$$ = {}, Typeset`chosen$$ = { "Input", "Input", 1, 1, "Input", "N[Pi, 200]"}, Typeset`open$$ = False, Typeset`newq$$ = "pi 200 digits"}, DynamicBox[ToBoxes[ AlphaIntegration`FormatAlphaResults[ Dynamic[{1, {pod1$$, pod2$$}, {aux1$$, aux2$$}, Typeset`chosen$$, Typeset`open$$, Typeset`elements$$, Typeset`q$$, Typeset`opts$$, Typeset`nonpods$$, Typeset`queryinfo$$, Typeset`sessioninfo$$, Typeset`showpods$$, Typeset`failedpods$$, Typeset`newq$$}]], StandardForm], ImageSizeCache->{106., {48., 18.}}, TrackedSymbols:>{Typeset`showpods$$, Typeset`failedpods$$}], DynamicModuleValues:>{}, Initialization:>If[ Not[Typeset`initdone$$], WolframAlphaClient`Private`doAsyncUpdates[ Hold[{pod1$$, pod2$$}], Typeset`asyncpods$$, Dynamic[Typeset`failedpods$$]]; Typeset`asyncpods$$ = {}; Typeset`\ initdone$$ = True], SynchronousInitialization->False], BaseStyle->{Deployed -> True}, DeleteWithContents->True, Editable->False, SelectWithContents->True]\)

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X \!\(\* NamespaceBox["WolframAlphaQueryResults", DynamicModuleBox[{Typeset`q$$ = "solve 2a-b=3, a+b+c=1, c-b=6", Typeset`opts$$ = { AppearanceElements -> { "Extrusion", "Warnings", "Assumptions", "Pods"}, Asynchronous -> All, Method -> {"ExtrusionChosen" -> { "Result", "Result", 1, 1, "Input", "Solve[{2 a - b == 3, a + b + c == 1, -b + c == 6}, {a, b, \ c}]"}, "Formats" -> { "cell", "minput", "moutput", "msound", "dataformats"}}}, Typeset`elements$$ = { "Extrusion", "Warnings", "Assumptions", "Pods"}, pod1$$ = XMLElement[ "pod", {"title" -> "Input interpretation", "scanner" -> "Identity", "id" -> "Input", "position" -> "100", "error" -> "false", "numsubpods" -> "1"}, { XMLElement["subpod", {"title" -> ""}, { XMLElement["minput", {}, {}], XMLElement["cell", {"compressed" -> False, "string" -> True}, { Cell[ BoxData[ FormBox[ TagBox[ TagBox[ GridBox[{{ StyleBox[ TagBox[ GridBox[{{ StyleBox["\"solve\"", { LineIndent -> 0, LineSpacing -> {0.9, 0, 1.5}}]}}, GridBoxBackground -> {"Columns" -> { GrayLevel[0.949]}, "Rows" -> {{None}}}, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, ColumnsEqual -> False, RowsEqual -> False, GridBoxDividers -> {"Columns" -> { GrayLevel[0.84], GrayLevel[0.84]}, "Rows" -> {{ GrayLevel[0.84]}}, "RowsIndexed" -> { 1 -> GrayLevel[0.84], -1 -> GrayLevel[0.84]}}, GridBoxSpacings -> { "Columns" -> {2, 2}, "Rows" -> {{1}}}, GridBoxAlignment -> { "Columns" -> {{Left}}, "Rows" -> {{Baseline}}}, AllowScriptLevelChange -> False], TagBoxWrapper["Separator" -> " "]], LineSpacing -> {1, 0, 1.5}, LineIndent -> 0], StyleBox[ TagBox[ GridBox[{{ TagBox[ RowBox[{ RowBox[{ RowBox[{"2", " ", "a"}], "-", "b"}], "==", "3"}], HoldForm]}, { TagBox[ RowBox[{ RowBox[{"a", "+", "b", "+", "c"}], "==", "1"}], HoldForm]}, { TagBox[ RowBox[{ RowBox[{"c", "-", "b"}], "==", "6"}], HoldForm]}}, GridBoxBackground -> { "Columns" -> {None}, "Rows" -> {{None}}}, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, ColumnsEqual -> False, RowsEqual -> False, GridBoxDividers -> {"Columns" -> { GrayLevel[0.84], GrayLevel[0.84]}, "Rows" -> {{ GrayLevel[0.84]}}, "RowsIndexed" -> { 1 -> GrayLevel[0.84], -1 -> GrayLevel[0.84]}}, GridBoxSpacings -> { "Columns" -> {2, 2}, "Rows" -> {{1}}}, GridBoxAlignment -> { "Columns" -> {{Left}}, "Rows" -> {{Baseline}}}, AllowScriptLevelChange -> False], TagBoxWrapper["Separator" -> " "]], LineSpacing -> {1, 0, 1.5}, LineIndent -> 0]}}, GridBoxItemSize -> { "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, ColumnsEqual -> False, RowsEqual -> False, GridBoxSpacings -> {"Columns" -> {{ AbsoluteThickness[-1]}}, "Rows" -> {{0}}}, AllowScriptLevelChange -> False], TagBoxWrapper["Separator" -> " "]], PolynomialForm[#, TraditionalOrder -> False]& ], TraditionalForm]], "Output"]}], XMLElement["dataformats", {}, {}]}]}], pod2$$ = XMLElement[ "pod", {"title" -> "Result", "scanner" -> "Solve", "id" -> "Result", "position" -> "200", "error" -> "false", "numsubpods" -> "1", "primary" -> "true"}, { XMLElement["subpod", {"title" -> "", "primary" -> "true"}, { XMLElement[ "minput", {}, { "Solve[{2 a - b == 3, a + b + c == 1, -b + c == 6}, {a, b, \ c}]"}], XMLElement["moutput", {}, {"{{a -> 1/5, b -> -13/5, c -> 17/5}}"}], XMLElement["cell", {"compressed" -> False, "string" -> True}, { Cell[ BoxData[ FormBox[ TemplateBox[{ RowBox[{"a", "==", FractionBox["1", "5"]}], RowBox[{"b", "==", RowBox[{"-", FractionBox["13", "5"]}]}], RowBox[{"c", "==", FractionBox["17", "5"]}]}, "Row", DisplayFunction -> (RowBox[{#, ",", #2, ",", #3}]& ), InterpretationFunction -> (RowBox[{ StyleBox["Row", FontFamily -> "Bitstream Vera Sans", FontSize -> -1 + Inherited], "[", RowBox[{ RowBox[{"{", RowBox[{#, ",", #2, ",", #3}], "}"}], ",", "\",\""}], "]"}]& )], TraditionalForm]], "Output"]}], XMLElement[ "dataformats", {}, { "computabledata,formatteddata,formuladata"}]}]}], aux1$$ = { True, False, {False}}, aux2$$ = {True, False, {False}}, Typeset`asyncpods$$ = {}, Typeset`nonpods$$ = {}, Typeset`initdone$$ = True, Typeset`queryinfo$$ = { "success" -> "true", "error" -> "false", "numpods" -> "2", "datatypes" -> "Solve", "timedout" -> "", "timing" -> "2.285", "parsetiming" -> "2.128", "parsetimedout" -> "false", "recalculate" -> "", "version" -> "1.1"}, Typeset`sessioninfo$$ = { "TimeZone" -> -5., "Date" -> {2010, 11, 7, 1, 15, 35.3443792`9.3008952516733}, "Line" -> 26, "SessionID" -> 22925019874934388130}, Typeset`showpods$$ = {1, 2}, Typeset`failedpods$$ = {}, Typeset`chosen$$ = { "Result", "Result", 1, 1, "Input", "Solve[{2 a - b == 3, a + b + c == 1, -b + c == 6}, {a, b, c}]"}, Typeset`open$$ = False, Typeset`newq$$ = "solve 2a-b=3, a+b+c=1, c-b=6"}, DynamicBox[ToBoxes[ AlphaIntegration`FormatAlphaResults[ Dynamic[{1, {pod1$$, pod2$$}, {aux1$$, aux2$$}, Typeset`chosen$$, Typeset`open$$, Typeset`elements$$, Typeset`q$$, Typeset`opts$$, Typeset`nonpods$$, Typeset`queryinfo$$, Typeset`sessioninfo$$, Typeset`showpods$$, Typeset`failedpods$$, Typeset`newq$$}]], StandardForm], ImageSizeCache->{392., {68., 18.}}, TrackedSymbols:>{Typeset`showpods$$, Typeset`failedpods$$}], DynamicModuleValues:>{}, Initialization:>If[ Not[Typeset`initdone$$], WolframAlphaClient`Private`doAsyncUpdates[ Hold[{pod1$$, pod2$$}], Typeset`asyncpods$$, Dynamic[Typeset`failedpods$$]]; Typeset`asyncpods$$ = {}; Typeset`\ initdone$$ = True], SynchronousInitialization->False], BaseStyle->{Deployed -> True}, DeleteWithContents->True, Editable->False, SelectWithContents->True]\)

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X \!\(\* NamespaceBox["WolframAlphaQueryParseResults", DynamicModuleBox[{Typeset`q$$ = "average of 12, 2.6, 23, 102, 34", Typeset`newq$$ = "average of 12, 2.6, 23, 102, 34", Typeset`chosen$$ = "Mean[{12, 2.6, 23, 102, 34}]"}, PaneSelectorBox[{False-> DynamicModuleBox[{WolframAlphaClient`Private`show$$ = False}, TagBox[ FrameBox[ TagBox[GridBox[{ { InputFieldBox[Dynamic[Typeset`newq$$], String, Appearance->None, BaseStyle->{"CalculateInput"}, ContinuousAction->True, Enabled->True, FieldSize->{{1, 40}, {1, DirectedInfinity[1]}}], ItemBox[ ButtonBox[ PaneSelectorBox[{True-> TagBox[ TooltipBox[ DynamicBox[FEPrivate`FrontEndResource["WABitmaps", "OrangeSquarePlus"], ImageSizeCache->{10., {3., 8.}}], DynamicBox[ ToBoxes[ FEPrivate`FrontEndResource["WAStrings", "ShowAllResults"], StandardForm]]], Annotation[#, Dynamic[ FEPrivate`FrontEndResource["WAStrings", "ShowAllResults"]], "Tooltip"]& ], False-> TagBox[ TooltipBox[ DynamicBox[FEPrivate`FrontEndResource["WABitmaps", "GraySquarePlus"], ImageSizeCache->{10., {3., 8.}}], DynamicBox[ ToBoxes[ FEPrivate`FrontEndResource["WAStrings", "ShowAllResults"], StandardForm]]], Annotation[#, Dynamic[ FEPrivate`FrontEndResource["WAStrings", "ShowAllResults"]], "Tooltip"]& ]}, Dynamic[ WolframAlphaClient`Private`show$$], ImageSize->All], Appearance->None, ButtonFunction:>If[ Or[ CurrentValue["OptionKey"], CurrentValue["AltKey"]], SelectionMove[ ButtonNotebook[], All, ButtonCell, AutoScroll -> False]; 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X \!\(\* NamespaceBox["WolframAlphaQueryResults", DynamicModuleBox[{Typeset`q$$ = "solve x^4-3x^2+1=0", Typeset`opts$$ = { AppearanceElements -> { "Extrusion", "Warnings", "Assumptions", "Pods"}, Asynchronous -> All, Method -> {"ExtrusionChosen" -> { "Result", "Results", 1, 4, "Input", "N[Solve[1 - 3 x^2 + x^4 == 0, {x}]]"}, "Formats" -> { "cell", "minput", "moutput", "msound", "dataformats"}, "ExtrusionOpen" -> False}}, Typeset`elements$$ = { "Extrusion", "Warnings", "Assumptions", "Pods"}, pod1$$ = XMLElement[ "pod", {"title" -> "Input interpretation", "scanner" -> "Identity", "id" -> "Input", "position" -> "100", "error" -> "false", "numsubpods" -> "1"}, { XMLElement["subpod", {"title" -> ""}, { XMLElement["minput", {}, {}], XMLElement["cell", {"compressed" -> False, "string" -> True}, { Cell[ BoxData[ FormBox[ TagBox[ TagBox[ GridBox[{{ StyleBox[ TagBox[ GridBox[{{ StyleBox["\"solve\"", { LineIndent -> 0, LineSpacing -> {0.9, 0, 1.5}}], TagBox[ RowBox[{ RowBox[{ SuperscriptBox["x", 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PolynomialForm[#, TraditionalOrder -> False]& ], TraditionalForm]], "Output"]}], XMLElement["dataformats", {}, {}]}]}], pod2$$ = XMLElement[ "pod", {"title" -> "Results", "scanner" -> "Solve", "id" -> "Result", "position" -> "200", "error" -> "false", "numsubpods" -> "4", "primary" -> "true"}, { XMLElement["subpod", {"title" -> ""}, { XMLElement["minput", {}, {"N[Solve[1 - 3 x^2 + x^4 == 0, {x}]]"}], XMLElement[ "moutput", {}, { "{{x -> -1.618033988749895}, {x -> -0.6180339887498949}, {x \ -> 0.6180339887498949}, {x -> 1.618033988749895}}"}], XMLElement["cell", {"compressed" -> False, "string" -> True}, { Cell[ BoxData[ FormBox[ TemplateBox[{ RowBox[{"x", "==", TagBox[ RowBox[{ FractionBox["1", "2"], " ", RowBox[{"(", RowBox[{ RowBox[{"-", RowBox[{"1"}]}], "-", SqrtBox["5"]}], ")"}]}], Identity], "\[TildeTilde]", RowBox[{"-", "1.618033988749895`"}]}]}, "Row", DisplayFunction -> (#& ), InterpretationFunction -> (RowBox[{ StyleBox["Row", FontFamily -> "Bitstream Vera Sans", FontSize -> 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{"title" -> ""}, { XMLElement["minput", {}, {"N[Solve[1 - 3 x^2 + x^4 == 0, {x}]]"}], XMLElement[ "moutput", {}, { "{{x -> -1.618033988749895}, {x -> -0.6180339887498949}, {x \ -> 0.6180339887498949}, {x -> 1.618033988749895}}"}], XMLElement["cell", {"compressed" -> False, "string" -> True}, { Cell[ BoxData[ FormBox[ TemplateBox[{ RowBox[{"x", "==", TagBox[ RowBox[{ FractionBox["1", "2"], " ", RowBox[{"(", RowBox[{ SqrtBox["5"], "-", RowBox[{"1"}]}], ")"}]}], Identity], "\[TildeTilde]", "0.6180339887498949`"}]}, "Row", DisplayFunction -> (#& ), InterpretationFunction -> (RowBox[{ StyleBox["Row", FontFamily -> "Bitstream Vera Sans", FontSize -> -1 + Inherited], "[", RowBox[{ RowBox[{"{", #, "}"}], ",", "\",\""}], "]"}]& )], TraditionalForm]], "Output"]}], XMLElement["dataformats", {}, {}]}], XMLElement["subpod", {"title" -> ""}, { XMLElement["minput", {}, {"N[Solve[1 - 3 x^2 + x^4 == 0, {x}]]"}], XMLElement[ "moutput", {}, { "{{x -> -1.618033988749895}, {x -> -0.6180339887498949}, {x \ 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In[8]:=

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Choose a different result by clicking on + at the top-right corner.

In[9]:=

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Out[9]=

In[10]:=

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{-1.543106624651791, 3.543106624651791}}, PlotRangePadding -> Scaled[0.01], Ticks -> True}], TraditionalForm]], "Output"]}], XMLElement["dataformats", {}, {}]}]}], pod3$$ = XMLElement[ "pod", {"title" -> "Equation forms", "scanner" -> "Geometry", "id" -> "Equation", "position" -> "300", "error" -> "false", "numsubpods" -> "2"}, { XMLElement["subpod", {"title" -> ""}, { XMLElement["minput", {}, {"z == -2 - x/2 + (7 y)/4"}], XMLElement["cell", {"compressed" -> False, "string" -> True}, { Cell[ BoxData[ FormBox[ RowBox[{"z", "==", RowBox[{ RowBox[{"-", RowBox[{ FractionBox["x", "2"]}]}], "+", FractionBox[ RowBox[{"7", " ", "y"}], "4"], "-", "2"}]}], TraditionalForm]], "Output"]}], XMLElement[ "dataformats", {}, { "computabledata,formatteddata,formuladata"}]}], XMLElement["subpod", {"title" -> ""}, { XMLElement["minput", {}, {"8 + 2 x - 7 y + 4 z == 0"}], XMLElement["cell", {"compressed" -> False, "string" -> True}, { Cell[ BoxData[ FormBox[ RowBox[{ RowBox[{ RowBox[{"2", " ", "x"}], "-", RowBox[{"7", " ", "y"}], "+", RowBox[{"4", " ", "z"}], "+", "8"}], "==", "0"}], TraditionalForm]], "Output"]}], XMLElement[ "dataformats", {}, { "computabledata,formatteddata,formuladata"}]}]}], pod4$$ = XMLElement[ "pod", {"title" -> "Normal vector", "scanner" -> "Geometry", "id" -> "Properties", "position" -> "400", "error" -> "false", "numsubpods" -> "1"}, { XMLElement["subpod", {"title" -> ""}, { XMLElement["cell", {"compressed" -> False, "string" -> True}, { Cell[ BoxData[ FormBox[ RowBox[{"\[LeftAngleBracket]", RowBox[{ RowBox[{"-", "4"}], ",", "14", ",", RowBox[{"-", "8"}]}], "\[RightAngleBracket]"}], TraditionalForm]], "Output"]}], XMLElement["dataformats", {}, {}]}]}], aux1$$ = { True, False, {False}}, aux2$$ = {True, False, {False}}, aux3$$ = { True, False, {False, False}}, aux4$$ = {True, False, {False}}, Typeset`asyncpods$$ = {}, Typeset`nonpods$$ = {}, Typeset`initdone$$ = True, Typeset`queryinfo$$ = { "success" -> "true", "error" -> "false", "numpods" -> "4", "datatypes" -> "Geometry", "timedout" -> "", "timing" -> "3.607", "parsetiming" -> "2.717", "parsetimedout" -> "false", "recalculate" -> "", "version" -> "1.1"}, Typeset`sessioninfo$$ = { "TimeZone" -> -6., "Date" -> {2010, 11, 11, 1, 19, 15.743268`8.949669836819583}, "Line" -> 39, "SessionID" -> 22927286929043208081}, Typeset`showpods$$ = {1, 2, 3, 4}, Typeset`failedpods$$ = {}, Typeset`chosen$$ = { "VisualRepresentation", "Visual representation", 1, 1, "Content"}, Typeset`open$$ = False, Typeset`newq$$ = "plane through points (1,2,1), (-2,0,-1), (-3,2,3)"}, DynamicBox[ToBoxes[ AlphaIntegration`FormatAlphaResults[ Dynamic[{1, {pod1$$, pod2$$, pod3$$, pod4$$}, { aux1$$, aux2$$, aux3$$, aux4$$}, Typeset`chosen$$, Typeset`open$$, Typeset`elements$$, Typeset`q$$, Typeset`opts$$, Typeset`nonpods$$, Typeset`queryinfo$$, Typeset`sessioninfo$$, Typeset`showpods$$, Typeset`failedpods$$, Typeset`newq$$}]], StandardForm], ImageSizeCache->{290., {28., 18.}}, TrackedSymbols:>{Typeset`showpods$$, Typeset`failedpods$$}], DynamicModuleValues:>{}, Initialization:>If[ Not[Typeset`initdone$$], WolframAlphaClient`Private`doAsyncUpdates[ Hold[{pod1$$, pod2$$, pod3$$, pod4$$}], Typeset`asyncpods$$, Dynamic[Typeset`failedpods$$]]; Typeset`asyncpods$$ = {}; Typeset`\ initdone$$ = True], SynchronousInitialization->False], BaseStyle->{Deployed -> True}, DeleteWithContents->True, Editable->False, SelectWithContents->True]\)

Out[10]=

To embed the result of free-form input into another expression, use by pressing Ctrl+.

In[1]:=

X ArcSin[\!\(\* NamespaceBox["LinguisticAssistant", DynamicModuleBox[{WolframAlphaClient`Private`query$$ = "half of sqrt 3", WolframAlphaClient`Private`boxes$$ = RowBox[{ RowBox[{"Rational", "[", RowBox[{"1", ",", " ", "2"}], "]"}], "*", RowBox[{"Sqrt", "[", "3", "]"}]}], WolframAlphaClient`Private`allassumptions$$ = {{ "type" -> "ListOrTimes", "count" -> "2", "Values" -> {{ "name" -> "Times", "desc" -> "multiplication", "input" -> "ListOrTimes_Times"}, { "name" -> "List", "desc" -> "a list", "input" -> "ListOrTimes_List"}}}}, WolframAlphaClient`Private`assumptions$$ = {}, WolframAlphaClient`Private`open$$ = {1, 2}}, DynamicBox[ToBoxes[ AlphaIntegration`LinguisticAssistantBoxes["", 1, Dynamic[WolframAlphaClient`Private`query$$], Dynamic[WolframAlphaClient`Private`boxes$$], Dynamic[WolframAlphaClient`Private`allassumptions$$], Dynamic[WolframAlphaClient`Private`assumptions$$], Dynamic[WolframAlphaClient`Private`open$$]], StandardForm], ImageSizeCache->{193., {26., 31.}}], DynamicModuleValues:>{}], BaseStyle->{Deployed -> True}, DeleteWithContents->True, Editable->False, SelectWithContents->True]\)]

Out[1]=

By clicking the orange markers inside the boxes, three different formats can be chosen for embedded free-form input. They all result in the same calculation.