Wolfram Research, Inc.

Problem 8

What is ?

Result

Method: Do a change of variables.

The current version cannot do the integral directly. (However, the next version can.)

In such a situation it is always a good idea to simplify the argument of the most complicated function. So we let , and this works.

The substitution also works.

Note 1: We check the integral numerically to make sure the symbolic result is correct.

Note 2: The corresponding indefinite integrals can be done too.