How Do You Integrate sin(2x) e^(sin x)?

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In summary, the conversation discusses a problem with integrating sin(2x)e^(sin x). The individual initially tries to integrate by parts, but is left with a larger term to integrate. After receiving a suggestion to use a double angle formula, they realize their mistake and successfully integrate the problem.
  • #1
biogoal123
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hey guys I am absolutely stumped on this one integration problem:

it asks us to integrate sin (2x) e ^ (sin x)

i integrated by parts once and was left with an even larger term to integrate, which leads me to believe that i might be doing it wrong

any help is appreciated, thanks
 
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  • #2
Try expanding sin(2x) using a double angle formula.
 
  • #3
wow ok i feel like an idiot. when i split it into double angles i had (2 sin cos e^sin) and i kept having my two terms for integration by parts being (cos sin) and (e ^ sin) instead of the VERY OBVIOUS one which i kept missing which was (sin) and (cos e ^sin) which gave a very nice and smooth integration

thanks again
 
  • #4
You could also have done a substitution u = sin x.
 

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