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I have posted a link there to this topic so the OP can see my work.How to get the derivative of a definite integral?

F(x) = the integral from x to 4 of sin(t^4) dt

F'(x) = ???

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f(x) = the integral from x to 12 of t^7 dt

f'(x) = ???

I have several more like these. I've been working on them for 6 hours. None of my answers are right. I don't understand what I'm doing wrong!