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Thread: integration by parts help

  1. #1
    Sep 2009

    integration by parts help

    I just want to make sure I got this integration by parts thing right...

    $\displaystyle \int \frac{\partial f}{\partial x}\frac{\partial x}{\partial y}\partial y=\frac{\partial f}{\partial x}x(y)-X(y)$

    (where X(y) is the integral of x(y))

    Does that look all right? And then the derivative of this result w.r.t. y would be...

    $\displaystyle \frac{\partial f}{\partial x}\frac{\partial x}{\partial y}-x(y)$



    [Edit: Nevermind! I just realized that the first term in the integral can be treated as a constant, so no need for integration by parts.]

    [Edit again: Nevermind the last edit. That was a bad idea. Nonetheless I have figured out the problem.]
    Last edited by rainer; Oct 9th 2011 at 04:13 PM.
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