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

6-173.

Simplify each expression.

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?