Posted by Bryant on Wednesday, March 7, 2012 at 1:35am.
Don't know if you really meant
∫sin(t)e^t dt
If that's the case, try differentiate using the chain rule,
sin(t)e^t
and
cos(t)e^t
You should be able to figure out the integral from the results.
The original integral you posted does not seem to have an analytic solution. A series solution is (almost always) available but does not fit your bill.
uh no i meant what i typed which is e^(sin(t))
In that case, I fear there is no solution using elementary functions.
who posed such a problem? It's solvable numerically, using a Taylor series, but not symbolically.
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