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Integrate the functions(x e^x)/((1+x)^2)...

Integrate the functions`(x e^x)/((1+x)^2)`

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To solve the integral \( \int \frac{x e^x}{(1+x)^2} \, dx \), we can follow these steps: ### Step 1: Rewrite the Integral We start with the integral: \[ I = \int \frac{x e^x}{(1+x)^2} \, dx \] To simplify the expression, we can add and subtract \( e^x \) in the numerator: ...
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