### Home > APCALC > Chapter 6 > Lesson 6.5.1 > Problem 6-172

6-172.

Evaluate each expression. Homework Help ✎

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?

, where