(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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# What trick is used to integrate this?

**Physics Forums | Science Articles, Homework Help, Discussion**