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Math Help - Integral identity: f(x)-f(a)=Integration_up_(x-a)_down_0 f'(x-t) dt how?

  1. #1
    Member ssadi's Avatar
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    Integral identity: f(x)-f(a)=Integration_up_(x-a)_down_0 f'(x-t) dt how?

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  2. #2
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    integral of f ' (x-t) dt is -f (x-t) proceed now
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  3. #3
    Member ssadi's Avatar
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    I have never done this type of integration before, can you please explain how integral of f'(x-t) dt is -f(x-t). My workings were by intuition.
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  4. #4
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    use the subsitution: x-t = u u get dt = -du
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