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

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

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To solve the integral \( \int \frac{x^2 + 3x - 1}{(x + 1)^2} \, dx \), we will follow these steps: ### Step 1: Rewrite the Integrand We start with the integrand: \[ \frac{x^2 + 3x - 1}{(x + 1)^2} \] We want to rewrite the numerator \( x^2 + 3x - 1 \) in a form that allows us to simplify the expression. We can express \( x^2 + 3x - 1 \) as follows: ...
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