你是求不定积分么?
∫arctanxdx
=xarctanx-∫x(1/1+x^2)dx
=xarctanx-∫x/(1+x^2)dx
=xarctanx-1/2∫1/(1+x^2)d(1+x^2)
=xarctanx-1/2ln|1+x^2|+C
文科的,用分部积分法解步骤尽量详细些能让我看懂!积分符号省略…arctanXdx=?
你是求不定积分么?
∫arctanxdx
=xarctanx-∫x(1/1+x^2)dx
=xarctanx-∫x/(1+x^2)dx
=xarctanx-1/2∫1/(1+x^2)d(1+x^2)
=xarctanx-1/2ln|1+x^2|+C