- #1
Sparky_
- 227
- 5
Homework Statement
[tex] \int e^{2x}sin(e^x)dx [/tex]
Homework Equations
Can I make the substitution:
[tex] w = e^x ; dw = e^x dx [/tex]
Making a "new / simpler" problem:
[tex] \int w sin(w) [/tex]
The Attempt at a Solution
Using integration by parts on the "new" problem:
[tex] u = w ; dw = du [/tex]
[tex] dv = sin (w) ; v = -cos(w)[/tex]
[tex] \int w sin(w) dw = -w cos(w) +\int cos(w) dw [/tex]
[tex]= -w cos(w) + sin(w)[/tex]
[tex]= -e^xcos(e^x) + sin(e^x) [/tex]
is this correct?
This integral is part of a larger problem and this term should "go away" supposedly.
If this is correct (this solution does not simplify to 0), then I will need to post the larger problem -
Thanks for the help
-Sparky
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