How to solve this integral: ∫ (x²/(x-1)) dx
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How to solve this integral: ∫ (x²/(x-1)) dx

[From: ] [author: ] [Date: 11-10-14] [Hit: ]
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The steps on how to get this would be nice.

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Hint:

Do the division: x^2/(x-1) = x+ 1 + 1/(x-1), now integrate term by term (the integral of the last term is a logarithm).

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You perform the division that is indicated and then you have two separate terms, each of them to be integrated.
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