### Home > CALC > Chapter 7 > Lesson 7.4.1 > Problem 7-178

7-178.

Simplify.

All of these problems involve the Fundamental Theorem of Calculus, part 1.

Compare and contrast part (a) with part (b). The answers will NOT be identical.

The Fundamental Theorem of Calculus, part 1 states that the derivative of an INDEFINITE integral is the same as the original function.

But this is a DEFINITE integral: Remember to multiply by the derivative of the bounds.