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Math Help - find the derivative of an integral?

  1. #1
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    find the derivative of an integral?

    how do you find the derivative of an integral?
    for example y=cosu^8du on [cosx,4x]. the derivative of cosu^8=8u^7*-sinu^8 but i don't think that's what the question is asking for.
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  2. #2
    Eater of Worlds
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    Is this what you mean?:

    \frac{d}{dx}\int_{h(x)}^{g(x)}f(t)dt=f(g(x))g'(x)-f(h(x))h'(x)

    If so, go for it.
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  3. #3
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    so would that be 4cos((4x)^8)-cos(cos^8x)(-sinx)?
    Last edited by vassago; December 23rd 2008 at 01:32 PM.
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