# What is #int (-x^3+9x-1 ) / (-2x^2- 3 x +5 )#?

The answer is

Let's do a long division

So,

Let's do a partial fraction decomposition

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To find the integral of ( \frac{{-x^3 + 9x - 1}}{{-2x^2 - 3x + 5}} ), you can use polynomial long division to simplify the integrand. Once simplified, you can then integrate each term 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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