Efficient Methods for Finding the Integral of e^(2x)sin(e^x)

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rickp
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I tried several ways to find this it's just making me confused.
Integral of e^(2x)sin(e^x)dx

I tried Integration by parts but i can't seem to find out the integral of sin(e^x).
 
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how about letting u = e^x... and you do know that e^(2x) = e^x * e^x so...
 
hm, thanks ill try that
 
Here's another hint, you will eventually need to use integration by parts.