an interesting integral

[@kevinmadden1645]

It might help to write the 1 in the numerator as sin squared(x/2) + cos squared(x/2). This makes the numerator a trinomial square and you get cancellation with the denominator.

[@tgeofrey]

You amazing me with those internal half angles

[@ahmedsabri-ng2xx]

an interesting integral

[@Mediterranean81]

I got e^x(1+cos x)/sin x + c

[@seegeeaye]

@@Mediterranean81 you may verify the result by taking the derivative wrpt x to see whether it = the integrand

[@Mediterranean81]

@seegeeaye yeah i checked