Question

Evaluate: integral (pi/4)S(pi/2) (-e^cotx)/(sinx)^2 dx
The answer is 1-e but idk how

Answer 1

if you are lucky this is a u-sub and you can make
\[u=\cot(x)\]

Answer 2

yeah that is it, since
\[du=-\csc^2(x)dx\] you have just what you want and you can integrate
\[\int e^udu\]

Answer 3

okay thank you!