Question

please help medals given
find the integral of log(1+sinx) from -pi/2 to pi/2

Answer 1

\[\int\limits_{-\pi/2}^{\pi/2}\ln (1+sinx)dx\]

Answer 2

what method are you supposed to use? you will not find an anti derivative for this one

Answer 3

i do not know how to solve it i suppose using integration by parts would and the answer is given as (-pi)*(ln2) but i dont know how to reach there

Answer 4

must be some trick, because there is no closed form anti derivative for this one

Answer 5

damn, i didn't even notice it is an improper integral too

Answer 6

ya maybe i grew the graph for this function maybe that could help