求反正弦函数平方的不定积分

∫(arcsinx)^2dx
arcsinx=u
x=sinu cosu=√(1-x^2)
=∫u^2dsinu
=u^2 sinu-∫2usinudu
=u^2sinu+2∫udcosu
=u^2sinu+2ucosu-2∫cosudu
=u^2sinu+2ucosu-2sinu+C
=x(arcsinx)^2+2(arcsinx)*√(1-x^2) -2x+C