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To integrate (x^2+2)/(x-1), how do you know you have to do long division? Just from experience or are their some tell tale signs?

Mathematics
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whenever the exponent of the leading coefficient of the numerator (in this case x^2) is greater than the exponent of leading coefficient of the denominator(x^1), then you have to do long division.
i know how to do it
i need help would you help me

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