text: how to integrate cosec and sec of x? how to derieve the integration of cosec and sec of x?  pls help me derieve the answer in detail thank you for secx: ?multiply and divide by (secx+tanx). therefore now we have to integrate ratio of (sec^2 of x + secx * tanx) to (secx+tanx). now put (secx+tanx= t) ,dt=  (sec^2 of x + secx * tanx).  now we have to integrate (1/t) which is log t  and substitute value of 't'.  for cosec x multiply and divide by (cosecx-cotx). therefore now we have to integrate ratio of (cosec ^2 of  x - cosecx * cotx) to  (cosecx-cotx). now put (cosecx-cotx= t) , dt=  (cosec^2 of x - cosecx * cotx).  now we have to integrate (1/t) which is log t  and substitute value of 't'.  i have given detailed explanation. plz choose my answer as best . hope to help u in further future.