你好!题目可能有错,应该是x^ 4+2x^2 +1才对吧!因为f(x)=x^ 3(sin x )^2/(x^ 4+2x^2 +1) =x^3(sinx)^2/(x^2+1)^2那么f(-x)=-x^3(sinx)^2/(x^2+1)^2=-f(x)所以被积函数为奇函数,且被积分区间为对称区间,所以...лл��