text: For secx:\n?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). \nnow we have to integrate (1/t) which is log t  and substitute value of 't'.\n\nFor cosec x\nMultiply and divide by (cosecx-cotx). Therefore now we have to integrate ratio of (cosec ^2 of  x - cosecx * cotx) to \n(cosecx-cotx). Now put (cosecx-cotx= t) ,\ndt=  (cosec^2 of x - cosecx * cotx). \nnow we have to integrate (1/t) which is log t  and substitute value of 't'.\n\nI have given detailed explanation. plz choose my answer as best . Hope to help u in further future.