∫xarctanxdx=(1/2)∫arctanxd(x^2)=(1/2)x^2·arctanx-(1/2)∫x^2d(arctanx)=(1/2)x^2·arctanx-(1/2)∫[x^2/(1+x^2)]dx=(1/2)x^2·arctanx-(1/2)∫dx+(1/2)∫[1/(1+x^2)]dx=(1/2)x^2·arctanx-(1/2)x+(1/2)arctanx+C
不适合AA绘声绘色