### Home > CALC > Chapter 6 > Lesson 6.3.2 > Problem 6-91

6-91.

Examine the integrals below. 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 ✎

Convert the radical to an exponent. Then use the form *u ^{power}du*.

If *u* = (3*x* − 2), then you need to add a *du*. In this case, it would be 3 *dx*.

Since you already have a *dx*, add a 3 taking out a (1/3) to compensate.

Multiply (3*x* − 2) (3*x* − 2).

Then take the antiderivative.

Use the form for one of the inverse trig. functions.

Take the antiderivative.