### Home > APCALC > Chapter 6 > Lesson 6.4.3 > Problem 6-151

6-151.

Use the relationship between differentiation and integration to evaluate the following expressions. Homework Help ✎

As you work through this set of problems, look for patterns.

Chain Rule

This one is tricky. Concentrate on the 3x

^{2}part of the integrand. What will happen when you anti-differentiate that part?Refer to part (a) (the question, not the hint).

Before you differentiate, rewrite the expression as with a fractional exponent.

A clue is in part (c).

And do not forget the.