令t=arcsinx(ⅹ=sint),则y=∫t^2dsint=sint*t^2-∫sintdt^2(分部积分法)=sint*t^2-∫sint*2tdt=sint*t^2-∫2td(-cost)=sint*t^2+2(t*cost-∫costdt)=sint*t^2+2t*cost-2sint(将t=arcsinx代入)得:=x*arcsin^2x+2arcsinx*√[(1-x)/2]-2x+C
