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ln |sin x| + ln |csc x + cot x|+C..
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1/sinx - cosx/sinx
1-cosx                      (1-cos2x= 2 sin² x/2)
   sinx                        (sin2x=2sinxcosx)
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

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