怎么解不定积分

怎么解不定积分怎么解 谢谢
2025-01-18 12:54:29
推荐回答(2个)
回答1:

分开积分
=[1/(1+u^2)-u/(1+u^)]du
arctanu-0.5ln(1+u^2)+C

回答2:

∫(1-u)/(1+u^2)du
=∫1/(1+u^2)du-∫u/(1+u^2)du
=arctanu-1/2∫1/(1+u^2)du^2
=arctanu-1/2ln(1+u^2)+C