Help with this Derivative/Integral
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Help with this Derivative/Integral

[From: ] [author: ] [Date: 12-07-06] [Hit: ]
Thanks in advance for all answers and 10 points to best answer with work!-According to the fundamental theorem of calculus, yes you are correct.Do note though you may run into something like d/dx ∫{0,= 2x7tan(x^2) = 14xtan(x^2)-Since F(t) = int F(t)dt, if F(x) = int 7tan(t)dt,......
I just want to make sure this isn't a trick question or something...

Find F'(x):

F(x) = Integral (7tan(t)) dt

And the upper thing of the integral is x and the lower thing is 0. (sorry, if forgot what the "things" were called)

I got 7tan(x) as my answer cause the derivative and the integral cancel out... right?

Thanks in advance for all answers and 10 points to best answer with work!

-
According to the fundamental theorem of calculus, yes you are correct.

Do note though you may run into something like d/dx ∫{0,x^2} 7 tan(t)

= 2x7tan(x^2) = 14xtan(x^2)

-
Since F(t) = int F'(t)dt, if F(x) = int 7tan(t)dt, then F'(x) = 7tan(x)
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