### Home > APCALC > Chapter 5 > Lesson 5.1.1 > Problem 5-10

5-10.

Examine the following integrals. Consider the multiple tools available for evaluating integrals and use the best strategy for each part. Evaluate each integral and briefly describe your method. Homework Help ✎

Before integrating, rewrite the integrand with a fractional exponent.

Undo the Power Rule.

Do NOT use a calculator!

This function is a graph of a semicircle.

Calculate the area using geometry.Determine the antiderivative by shifting and stretching the antiderivative of

*y*= cos(*x).*2sin(

*θ*− 1) +*C*Before integrating, rewrite the integrand with a negative exponent.