### Home > CALC > Chapter 6 > Lesson 6.3.3 > Problem 6-101

6-101.

Your new derivative formulas can be reversed to enable you to integrate new expressions. Use this idea in each of the following problems. Homework Help ✎

You should recognize the integrand. Think inverse trig!

Refer to the hint in part (a).

Before integrating, rewrite the integrand with a negative exponent.

Refer to the hint in part (a).

There are two equivalent expressions for this integral.

It could = arccos(3*t*) + *C* or it could = −arcsin(3*t*) + *C*.

Think about it.