### Home > APCALC > Chapter 7 > Lesson 7.4.3 > Problem 7-206

7-206.

Examine the integrals below. Consider the multiple tools available for integrating and use the best strategy for each part. Evaluate each integral and briefly describe your method.

This is an improper integral because

has a vertical asymptote at . Rewrite properly (with limits) before evaluating.

Use integration by parts after you rewrite the integrand as

.

Letand.

Thenand.

Warning: You will have to use-substitution to evaluate the integral.