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int(2x+3)/((x-1)^2)dx...

`int(2x+3)/((x-1)^2)dx`

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To solve the integral \( \int \frac{2x + 3}{(x - 1)^2} \, dx \), we will follow these steps: ### Step 1: Rewrite the integrand We start by rewriting the integrand to facilitate integration. We can split the numerator \( 2x + 3 \) by adding and subtracting 2: \[ \int \frac{2x + 3}{(x - 1)^2} \, dx = \int \frac{(2x - 2) + 5}{(x - 1)^2} \, dx \] ...
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