Question

Integral (cosecx-cotx)

Answer 1

ln |sin x| + ln |csc x + cot x|+C..

Answer 2

cosecx-cotx
1/sinx - cosx/sinx
1-cosx                      (1-cos2x= 2 sin² x/2)
   sinx                        (sin2x=2sinxcosx)
2sin²x/2
2 sinx/2 cos x/2
integration of tan x/2
-log(cos x/2) d(x/2)/dx+ c
-1/2 ×log(cos x/2)+c