### Home > APCALC > Chapter 7 > Lesson 7.4.1 > Problem 7-184

7-184.

Evaluate.^{ }

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

When you integrate, you will get a

. What happens to this when you then take the derivative? 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.