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Math Help - derivative of an integral

  1. #1
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    derivative of an integral

    Consider the following:

    derivative of the integral of cos(t)*dt

    ^lower limit of integral = 0
    ^upper limit of integral - 3x

    when evalutating this, would the answer be 3cos(3x)

    ??
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  2. #2
    Senior Member Peritus's Avatar
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    consider reading about the fundamental theorem of calculus :
    Fundamental theorem of calculus - Wikipedia, the free encyclopedia

    and Leibniz integral rule:

    Leibniz integral rule - Wikipedia, the free encyclopedia

    your answer is correct.
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