### Home > CALC > Chapter 9 > Lesson 9.1.3 > Problem 9-43

9-43.

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. Homework Help ✎

You should have the first integral committed to memory.

For the second integral, let *u* = 1 − *x*^{2}.

This is an improper integral because the graph has a vertical asymptote at *x* = 0. Rewrite this integral using limits and two separate integrals before evaluating.

Rewrite the integrand using exponents. This is also an improper integral.