Consider the following:

derivative of the integral of cos(t)*dt

^lower limit of integral = 0

^upper limit of integral - 3x

when evalutating this, would the answer be 3cos(3x)

??

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- Jan 13th 2008, 10:30 AMDINOCALC09derivative of an integral
Consider the following:

derivative of the integral of cos(t)*dt

^lower limit of integral = 0

^upper limit of integral - 3x

when evalutating this, would the answer be 3cos(3x)

?? - Jan 13th 2008, 11:46 AMPeritus
consider reading about the fundamental theorem of calculus :

Fundamental theorem of calculus - Wikipedia, the free encyclopedia

and Leibniz integral rule:

Leibniz integral rule - Wikipedia, the free encyclopedia

your answer is correct.