Mathematica Solutions to the ISSAC '97 Systems
Wolfram Research, Inc.
What is the value of to 7 significant digits?
Method 1: Use a built-in function.
The most natural approach gives the correct result but with a warning
To guarantee the required digits and to avoid the message, we use
arbitrary-precision arithmetic, allow more recursive subdivisions at the
right endpoint, and use a more appropriate integration method.
Method 2: Substitute to get a nicer integrand.
We make the substitution . Using ,
this is equivalent to .
This makes the integrand much better behaved, getting rid of any