### Home > CALC > 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. After evaluating the integral, write a short description of 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.