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Home > CALC > Chapter 6 > Lesson 6.4.3 > Problem 6-158

6-158.
  1. Use the relationship between differentiation and integration to simplify the following problems. Homework Help ✎

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

Chain Rule.

This one is tricky. Concentrate on the 3x² 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 directly above (in part (c)).
And don't forget the +C.