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Integrate the following int(cosec^2x)/(1+cotx)dx

Answer»

SOLUTION :`INT((cosec^2x)/(1+cotx)DX
[PUT 1+cotx=t then `-cosec^2xdx=dt` or `cosec^2xdx=-dt`
`int(-dt/t)=-int(dt/t)=-inabst+C`


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