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

[tex]\int[/tex][tex]\frac{e^xcos(log_7(e^x+9))}{(e^x+9)ln(7)}[/tex]dx

2. Relevant equations

3. The attempt at a solution

Let u= (e^{x}+9)

du= e^{x}dx

New integral [tex]\int[/tex][tex]\frac{cos(log_7(u))}{(u)ln(7)}[/tex]du

This is where I got l little lost. Should I let log_{7}(u)=[tex]\frac{ln(u)}{ln(7)}[/tex]? Or is this just a waste of time. I was thinking after that I would use log rules to make it ln(u)-ln(7) and then split it into two separate integrals and follow that by partial fractions. I'm just curious if I'm on the right track.

**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!

# Homework Help: Integration: Rationalizing and then Partial Fractions

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