I was to hasty in my previous post. no integration by parts is necessary!
http://d.imagehost.org/view/0054/Capture4
I think i need to go back to the basics to get my facts straight!
It funny how this expression cos(e^x)*e^x is easier to integrate than cos(e^x).
Okay, i have found the solution on wikipedia thanks to your replies.
The solution is to use substitution before using the integration by part method.
here is the link to wiki if anyone would come across the same problem...
http://d.imagehost.org/view/0589/Capture2
The reson i did like that is because integration by parts is the chain rule in reverse right? so if I'm going to derive cos(e^x)*e^x then i would use the chain rule, and therefore i used integration by parts here
Homework Statement
http://d.imagehost.org/view/0659/Capture
Link to wolfram alfa:http://www.wolframalpha.com/input/?i=integrate%28cos%28e^x%29*e^x
What i don't understand is why whey do it like this and why i can't integrate by parts in this case?
Thanks for any replies!