# How do you integrate #(4x^2-x+3)/((x+5)(x-1)(x-2))# using partial fractions?

We will use the Method of Partial Fraction to split the Integrand

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To integrate the rational function (4x^2 - x + 3)/((x + 5)(x - 1)(x - 2)) using partial fractions, follow these steps:

- Perform polynomial long division if necessary to ensure the degree of the numerator is less than the degree of the denominator.
- Express the rational function as a sum of partial fractions.
- Find the constants for the partial fractions.
- Integrate each partial fraction separately.
- Combine the results to obtain the final integral.

If you need further clarification or assistance with any step, feel free to ask.

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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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