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Math Help - Integration and Differentiation as Inverse Operations

  1. #1
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    Integration and Differentiation as Inverse Operations

    Hi
    I was wondering if anyone could tell me an intuitive reason why integration and differentiation are inverses.
    I am familiar with the fundamental theorem of calculus and can prove it but usually with a proof comes understanding, I failed to obtain this understanding in this case and was wondering if anyone could help me out?
    Cheers
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  2. #2
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    Its simple, because one undoes the other


    Like x + 2 - 2 = x

    then \frac{d}{dx} \left(\int f(x) dx\right)  = f(x)
    Last edited by pickslides; July 17th 2009 at 07:48 PM. Reason: typo
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  3. #3
    No one in Particular VonNemo19's Avatar
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    Last edited by VonNemo19; September 19th 2009 at 11:49 PM.
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