Question

Integrate the following

Answer 1

Answer: -cot(x/2) -x

1. cosx/1-cosx = -(1-cosx -1)/ 1-cosx

= -1 +1/1-cosx

= -1 +1/2sin^2(x/2)

= -1 + 1/2(cosec^2 x/2)

now i hope you can integrate

integration of 1--> x

integration of cosec^2(x/2) = -2cot(x/2)