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Thread: integration

  1. #1
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    integration

    -VdV/(kV+g)
    where k and g are constants
    plz i need answer for this with illustration
    and thank you all
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  2. #2
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    Quote Originally Posted by mohamedsafy View Post
    -VdV/(kV+g)
    where k and g are constants
    plz i need answer for this with illustration
    and thank you all
    All you have to do is some minor algebra.


    VdV/(kV+g) = $\displaystyle \frac{(1/k) (kV +g)- g/k}{kV+g}$

    Seperate the fraction we get.

    $\displaystyle \frac{1}{k} +\frac{- g}{k(kV+g)}$

    Your integral reduces to

    $\displaystyle \int \frac{1}{k} +\frac{- g}{k(kV+g)} dV$

    $\displaystyle \int \frac{1}{k}+\frac{- g}{k(kV+g)} dV = \frac{V}{k} - \frac{ g ln(kV +g)}{k^{2}} $
    Last edited by Banned for attempted hacking; May 6th 2009 at 06:44 AM. Reason: sign error
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