同学你好，该知识点来自沪江网校《越南语零基础至初级【全额奖学金班】》的课程，想要更系统的学习，欢迎进入课程学习。不仅可以和更多的同学一起学习，而且还有老师、助教随时的学习指导和知识点解答哦。

先化简t=arcsin(x) x=sin(t)
arccos(x)=π/2 -t
∫t(π/2 -t)dsin(t)=t(π/2 -t)sin(t) -∫ sint d(t(π/2 -t))
=t(π/2 -t)sin(t) -∫ (π/2-2t)sint dt
=t(π/2 -t)sin(t) +∫ (π/2-2t) dcos(t)
=t(π/2 -t)sin(t) + (π/2-2t) cos(t)-∫cos(t)d (π/2-2t)
=t(π/2 -t)sin(t) + (π/2-2t) cos(t)+∫2cos(t)dt
=t(π/2 -t)sin(t) + (π/2-2t) cos(t)+2sin(t)+C
=arcsin(x)arccos(x)x+(arccos(x)-arcsin(x))√(1-x²)+2arcsin(x)+C