# #int(x^2+x+2)/{(x-1)(x-2)}dx# with respect to x ?

Observe that, the degree of the polynomials in Numerator

and Denominator is the same, so the rational integrand is

Improper.

So, first, we have to make it Proper. To this end, the long

division is, usually, performed. Here, we proceed as under :

Method of Partial Fraction.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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