错,前一项∫xcos(x^2)dx=1/2∫2xcos(x^2)dx=1/2∫cos(x^2)dx^2=1/2sin(x^2)+c1,根据分部积分法,后一项 ∫-sin(x^2)/x^2dx=∫sin(x^2)d1/x=sin(x^2)/x-∫1/xdsin(x^2)=sin(x^2)/x-2∫cos(x^2)dx=sin(x^2)/x-[x+sin(2x...∫xcos(x^2)-sin(x^2)/x^2 dx 这个该是∫【xcos(x^2)-sin(x^2)】/x^2不好意思 没注意第一次打的时候。。反之也可利用sin(x^2)/x对x求导结果为2cos(x^2)-sin(x^2)/x^2 与左边被积函数[xcos(x^2)-sin(x^2)]/x^2不同 所以错误。