(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[tex]\int e^x \frac{1 + sin(x)}{1 + cos(x)}\;dx[/tex]

3. The attempt at a solution

Apparently there is a trick involving e^x integrals like this

[tex]\int e^x[f(x) + f'(x)] dx = e^x f(x) + C[/tex]

Now my question is not how to compute the integral above but where did this [tex]\int e^x[f(x) + f'(x)] dx = e^x f(x) + C[/tex] identity came from?? How does one know this exists?

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# Homework Help: What trick is used to integrate this?

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