∫(1,-1)x^2[1/(2+x^3)+arctan(sinx)]dx
=积分:(1,-1)[x^2/(2+x^3)]dx+积分:(1,-1)arctan(sinx)dx
=积分;(1,-1)d(2+x^3)/3(2+x^3)+积分:(1,-1)arctan(sinx)dx
=1/3*ln|2+x^3|(1,-1)+0(后面这个被积函数是奇函数)
=1/3*[ln3-ln1|
=(ln3)/3