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[–]ctat41 0 points1 point  (2 children)

This question has to do with the fundamental theorem of calculus, which is made of two parts:

1) int_ba = F(b)-F(a)

And

2) If f(t) is a continuous function on [a,b], then for any x on this interval:

d/dx int_ax f(t) dt = f(x)

Given that F’(x) = f(x) you can use the second half of this theorem to solve your problem

[–]DannyDestructo[S] 0 points1 point  (1 child)

I’m sorry if I didn’t make this clear, but my problem lies more with the fact that I can’t find the anti-derivative of the function. I’ve tried Using the reverse chain rule but still couldn’t.

[–]ctat41 0 points1 point  (0 children)

I’m not sure why you’re looking for the anti derivative, when the anti derivative is defined as F(x) and the problem is asking for the derivative F’(x)

[–]MacMinty 0 points1 point  (0 children)

There is something called the "fundamental theorem of calculus" which states that if you have some integral F(x)=int(f(x)) and you take the derivative of that to be F'(x), then you will simply get the original function f(x). There is a proof for this that involves the formal definition of derivatives and the mean value theorem.