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August 2, 2015

Homework Help: calc

Posted by sarah on Sunday, January 27, 2008 at 2:49pm.

is the integral of 2x/(x^3-x)
=-1/2ln(x+1)+1/2ln(x-1)

I got this by doing this:
(\=integral sign)
2\1/(x^2-1)
2\1/(x+1)(x-1)
=A/(x+1)+B/(x-1)
=Ax-A+Bx+B=1
Ax+Bx=0
B-A=1
B=1+A
(1+A)x+Ax=0
x+Ax+Ax=0
1+AB=0
2A=-1
A=-1/2
B+1/2=1, B=1/2
etc.

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