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Hey, I was solving a bunch of exercises on integrals and I came across this one? Do you think there is a typo in this exercise, because I cannot figure out what the two 2s are.

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You should say you are generating the partial fraction representation. And it would appear you are correct, here is what Maxima says:
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$$\displaystyle \frac{x^2+2x+3}{\left(x-1\right)\left(x+1\right)^2}=\frac{\frac{3}{2}}{x-1}-\frac{1}{\left(x+1\right)^2}-\frac{\frac{1}{2}}{x+1}$$ I think that's right.
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I can confirm it was $$\displaystyle \frac{(x^2+2x+3)}{(x-1)(x+1)^2}$$, by solving that I found the correct result (for anyone who wants to try to solve this).
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Ok, thank you. Will try to solve it this way.
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It's a typo. my guess is that it should read $$\displaystyle {x^2} + 2x + 3$$ on top I am also not sure whether the second term on the bottom should be squared.
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