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Home > CALC > Chapter 6 > Lesson 6.5.1 > Problem 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.

(2x)cos (ex2) − (0)cos(e0) = 2xcosex2

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