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Mathematics
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partial fractions
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are annoying
\[\int\limits (x+1)/x^3-2x^2+x\]
x/x^3 + 1/x^3 - 2x^2 + x
1/x^2 + 1/x^3 - 2x^2 + x
x^-2 + x^-3 - 2x^2 + x
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and integrate (x^-1)/-1 + (x^-2)/-2-(2x^3)/3+(x^2)/2
-1/x-1/(2x^2)-2x^3/3+x^2/2
\[\frac{(x+1)}{x(x-1)^2}=\frac{A}{x} +\frac{B}{x-1}+\frac{C}{(x-1)^2}\]\[(x+1)=A(x-1)^2+Bx(x-1)+cx\]\[(x+1)=Ax^2-2Ax+A+Bx^2-Bx+Cx\] \[A=1\]\[-2A-B+C=1\]\[A+B=0\]since A=1 1+B=0 B=-1 and -2A-B+C=1 -2(1)-(-1)+C=1 -2+1+C=1 C=2
\[\frac{x+1}{x(x-1)^2}= \frac{1}{x}-\frac{1}{x-1}+\frac{2}{(x-1)^2}\]
ok i see where i messed up at
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how about using some parenthases in your problem >_>
There are different methods for solving partial fractions .. you should look at heavy side Partioning .. this gives answer real quick ;)
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