### Home > CALC > Chapter 6 > Lesson 6.5.1 > Problem 6-173

6-173.

Fundamental Theorem of Calculus states that the derivative of an INDEFINITE integral gives you the original function.

But this is a definite integral...

Be sure to multiply by the derivative of the bounds.

(2*x*)cos (*e ^{x}*

^{2}) − (0)cos(

*e*

^{0}) = 2

*x*cos

*e*

^{x}^{2}

Refer to the hints in part (a), or... Notice that the definite integral equals a constant. What is the derivative of a constant?