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\[\int\limits_{}^{}\frac{ x^2+3 }{ x-1}dx\]
use polynomial long division
i got |dw:1356474256088:dw|

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Other answers:

yes, so what is your new integrand?
how to write? no idea
yeah, you didn't show you work too clearly|dw:1356474423392:dw|so you got x+1 with remainder 4
|dw:1356474525330:dw|
that's right, now integrate
from here i can catch up last question when to
use long division
i mean by just seeing the question how do u know to do long division
When you need to integrate a rational expression, and the polynomial in the numerator has a higher degree than the polynomial in the denominator, use polynomial long division.

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