### Home > APCALC > Chapter 6 > Lesson 6.5.1 > Problem 6-174

6-174.

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

Convert the radical to an exponent. Then use the form

.

If

, then you need to add a. In this case, it would be.

Since you already have a, add ataking out a to compensate. Multiply

.

Then take the antiderivative.

Use the rule for one of the inverse trig functions.

This is a sum of power functions. Take the antiderivative.