# What is #int (x^3-2x^2+6x+9 ) / (-x^2- x +2 )#?

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The integral of (x^3 - 2x^2 + 6x + 9) / (-x^2 - x + 2) with respect to x is calculated by partial fraction decomposition and then integrating the resulting terms. After performing partial fraction decomposition, the integral simplifies into terms that can be integrated individually.

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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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