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Question

cscx(cscxcotx)dx

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Solution

cosecxcosecxcotxdx
=cosecx(cosecx+cotx)(cosecxcotx)(cosecx+cotx)dx
=cosecx(cosecx+cotx)cosec2xcot2xdx
=(cosec2x+cosecxcotx)dx
=cotxcosecx+c

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