The integral is 25/(x^2+27x+26) with limits of integration [0,∞]

I know that this integral is going to be convergent.. I just don't know how to solve for the integral

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- Nov 1st 2010, 03:11 PMelpermicDon't know how to do this improper integral?
The integral is 25/(x^2+27x+26) with limits of integration [0,

**∞**]

I know that this integral is going to be convergent.. I just don't know how to solve for the integral - Nov 1st 2010, 03:27 PMPlato
$\displaystyle \dfrac{25}{x^2+26x+27}=\dfrac{1}{x+1}-\dfrac{1}{x+26}$

- Nov 2nd 2010, 05:07 AMHallsofIvy
Slight typo in Plato's post:

$\displaystyle \frac{25}{x^2+ 27x+ 26}= \frac{1}{x+1}-\frac{1}{x+ 26}$.