# How do you integrate #int (3x+5)/(x-2)#?

First simplify the integrand. This can be done by performing long division, or by my preferred method:

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To integrate ( \frac{3x + 5}{x - 2} ) with respect to ( x ), you can use polynomial long division or partial fraction decomposition to simplify the integrand. Once simplified, you can integrate each term separately. If you use partial fraction decomposition, the result would involve natural logarithms and would be expressed as ( 3\ln|x - 2| + 8x - 17 + C ), where ( C ) is the constant of integration.

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