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How do you use the Fundamental Theorem of Calculus to find the derivative of #int e^(4t²-t) dt# from 3 to x?

1 Answer

Jul 17, 2016

By FTC

#d/(dx) int_a^x \ f(t) \ dt = f(x)#

So

#d/dx int_3^x e^(4t²-t) dt#

#=e^(4x²-x) #

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