I don't think sin(x)/x is readily done by parts or any other elementary operation. This is a case for PH's forte, complex analysis.
You can start by using , because it has a simple pole at z=0 and has a residue
I have been studying a little CA when I have time, but don't have my sea legs yet.
yeah, i was solving it using ibp but i don't get anything useful..
about using CA concepts, it is possible if s/he has taken the course.. personally, i haven't taken it so i can't even use it.. Ü
Whoa, Kriz, you show off you. I am now bowing to the master. Very clever indeed.(Clapping)
Let . Consider the square contour (for large) from to with be a semicircular contour from to (for small).
Then by Cauchy's theorem*:
Now make to get:
Equate real and imaginary parts.
*)The issue of convergence is covered by Jordan's lemma.