### Home > APCALC > Chapter 10 > Lesson 10.1.1 > Problem 10-4

10-4.

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. Homework Help ✎

Use integration by parts.

Letand.

Use substitution.

Let.

You should recognize the integrand as the derivative of an inverse trigonometric function.

This is an improper integral, so a limit will need to be used to evaluate it.

The symmetry of the graph can also be used to evaluate the integral.

Review the first Fundamental Theorem of Calculus.