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

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To integrate (x-5)/(x-2)^2 using partial fractions, follow these steps:

- Perform polynomial long division to express the fraction as a sum of a polynomial and a proper rational function.
- Write the fraction in the form A/(x-2) + B/(x-2)^2.
- Multiply both sides of the equation by (x-2)^2 to clear the denominators.
- Simplify the resulting equation and solve for the constants A and B by comparing coefficients.
- Integrate each term separately.
- Combine the integrals to get the final result.

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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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