xarctanx-(1/2)ln(1+x²)+c (c为任意常数)过程:∫arctanxdx=xarctanx-∫xd(arctanx)=xarctanx-∫x/(1+x²)dx=xarctanx-(1/2)∫1/(1+x²)d(1+x²)=xarctanx-(1/2)ln(1+x²) +c (c为任意常数)