先分成两个积分,然后前面一项用分步积分啊。∫(x^3cosx+x^2)dx=∫x^3cosxdx+∫x^2dx=∫x^3dsinx+x^3/3=x^3sinx-∫3x^2sinxdx+x^3/3=x^3sinx+x^3/3+∫3x^2dcosx=x^3sinx+x^3/3+3x^2cosx-∫6xcosxdx=x^3sinx+x^3/3+3x^2cosx-6xsinx+∫6sinxdx=x^3sinx+x^3/3+3x^2cosx-6xsinx-6cosx+C