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Evaluate: int(x+2)/((x+1)^3)\ dx...

Evaluate: `int(x+2)/((x+1)^3)\ dx`

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To evaluate the integral \( I = \int \frac{x+2}{(x+1)^3} \, dx \), we can simplify the integrand before integrating. Here’s a step-by-step solution: ### Step 1: Simplify the Integrand We start by rewriting the integrand: \[ \frac{x+2}{(x+1)^3} = \frac{(x+1) + 1}{(x+1)^3} = \frac{x+1}{(x+1)^3} + \frac{1}{(x+1)^3} \] ...
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