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To solve: $$ I=\int \frac{(1+x)e^x}{(2+x)^2} \,dx. $$ We have a ready formula as $$ \int e^x[f(x)+f'(x)]\,dx= e^x f(x). $$ My question is how to find $f(x)$ from the given function in question such that we have $f'(x)$ available with us?

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