1⼀(y^2-1)dy的积分

2025-02-22 14:26:48
推荐回答(2个)
回答1:

1/(y^2-1) = (1/2)[1/(y-1) -1/(y+1)]
∫dy/(y^2-1)
=(1/2)∫[1/(y-1) -1/(y+1)] dy
=(1/2)ln| (y-1)/(y+1) | + C

回答2:

∫1/(y^2-1)dy
=1/2∫[1/(y-1)-1/(y+1)]dy
=1/2ln[(y-1)/(y+1)]+C