# What is #int (-2x^3-x^2-5x+2 ) / (-4x^2+2x +3 )#?

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The result of (\frac{{-2x^3-x^2-5x+2}}{{-4x^2+2x+3}}) is (\frac{{1}}{{2}}x+\frac{{x-2}}{{4x^2-2x-3}}).

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The integral of (\frac{-2x^3-x^2-5x+2}{-4x^2+2x+3}) with respect to (x) is (\frac{3x^2}{4}-\frac{x}{2}+\frac{7}{8} \ln|4x^2-2x-3| + C), where (C) is the constant of integration.

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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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