How can we integrate a^(x)e^(x) dx using the conversion of ax to e^x?

[Punkyc7]

integrate a^(x)e^(x) dx

We haven't done integrations by part so I am not sure if that would be helpful for this question. I do not see any u substituion so I am not sre where to begin. I have tried taking natural logs and have gotten nowhere. Any infomation that could lead me in the right direction would be greatly appreciated

 

[hadsed]

Try converting to a different form, then see what you notice from there.

 

[Punkyc7]

what type of form, I don't really know how to go about making it easier

 

[Mark44]

Try converting a^x to e to the appropriate power.

a = e^{ln a}, as long as a > 0 and not equal to 1.