Example 8.21.  Evaluate    by using a computer algebra system.  

Explore Solution 8.21.

Enter the function and    and locate the singularities.

Warning.  The indefinite integral of f[x] is g[x], but it cannot be used in any meaningful way to solve the problem at hand.

Warning. The following computation will not produce the correct answer.

Correction.  The indefinite integral of g[x] can be written in an algebraic form that will produce the correct answer for real functions.

Which is also the correct answer.

Aside. We can use Mathematica's built in "PrincipalValue" option to evaluate this definite integral .

Which is also the correct answer.

(c) 2006 John H. Mathews, Russell W. Howell