How would I calculate the integral of

dx/(C-x)

C is a constant.

Thanks

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- Aug 9th 2012, 09:35 AMNotionCommotionIntegral of dx/(C-x)
How would I calculate the integral of

dx/(C-x)

C is a constant.

Thanks - Aug 9th 2012, 09:40 AMrichard1234Re: Integral of dx/(C-x)
A simple substitution: $\displaystyle u = C-x \Rightarrow du = -dx$. Therefore

$\displaystyle \int \frac{dx}{C-x} = -\int \frac{du}{u} = -\ln |u| + k = -\ln |C-x| + k$ (k is another arbitrary constant). - Aug 9th 2012, 11:30 AMNotionCommotionRe: Integral of dx/(C-x)
Thanks Richard. It's coming back now. I has been a few years since I have done this!