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Math Help - What is the next obvious step for this integral?

  1. #1
    Senior Member
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    What is the next obvious step for this integral?

    Hello.

    I have this line given

    \frac{\partial}{\partial f(t)} \int_0^x f(t)*g(t) dt

    Is there any chance to simplify that?
    Sadly there is no information given about the functions f(t) and g(t).

    Any ideas?

    Rapha
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  2. #2
    MHF Contributor chisigma's Avatar
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    The expression...

    \int_{0}^{x} f(t)\cdot g(t)\cdot dt (1)

    ... is a function of the x alone so that its derivative repect to f(t) is zero...

    Kind regards

    \chi \sigma
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  3. #3
    Senior Member
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    Hello chisigma.

    Thank you so much!

    Rapha
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