### Home > CALC > Chapter 12 > Lesson 12.1.2 > Problem 12-21

12-21.

Examine the integrals below. Consider the multiple tools available for integrating and use the best strategy. After evaluating each integral, write a short description of your method.

Use substitution. Let

.

Use integration by parts. Let

and.

Thenand.Use integration by parts on the integral in Step 2.

Letand.

Thenand.Use partial fraction decomposition.

Use algebra to get the original integral expression by itself.

Rewrite the denominator of the integrand using Steps 1 and 2.

You should recognize the integrand as a form of the derivative of a special function.