- #1
colderduck
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Homework Statement
I am supposed to evaluate the integral using partial fractions.
[tex]\int \frac{1}{(x+5)^2(x-1)} dx[/tex]
2. The attempt at a solution
So after doing all the work, I get
[tex](-1/36)ln|x+5| - (13/6)ln|x+5| + (1/36)ln|x-1|[/tex]
But the answer in the book appears as
[tex](-1/36)ln|x+5| - (1/6)\frac{1}{x+5} + (1/36)ln|x-1|[/tex]
Here is what I have before I integrate it.
[tex]\int \frac{-1/36}{x+5} - \frac{1/6}{(x+5)^2} + \frac{1/36}{x-1} dx [/tex]
I assume it has to do with the (x+5)2, but I can't figure out what happened to get that.