换元t=arcsinx=∫t/cos³tdsint=∫tdtant=ttant-∫tantdt=ttant+ln|cost|+C
令x=sint,dx=costdt原式=∫t/cos²tdt=∫tdtant=ttant-∫tantdt=ttant-∫sint/costdt=ttant-∫1/costdcost=ttant-ln|cost|+C