Simple Integral question (Exponents)

[homeworkjunk]

Homework Statement

\int \frac{6^x+12^x}{2^x}dx

Homework Equations

\int a^udu= \frac{a^u}{ln a} +C

The Attempt at a Solution

I don't know where to begin, I tried using parts but gave up.

 

[Mark44]

Make your life simpler by getting rid of the denominator.

6^x = (2 * 3)^x = 2^x * 3^x. You can apply the same idea to 12^x.

 

[homeworkjunk]

I will immediately try that, thanks!

 

[homeworkjunk]

Wohoo! It worked!

You are awesome, thank you!