∫(1/(y-y^2))dy 等于多少?怎么算?

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∫(1/(y-y^2))dy等于多少?怎么算?∫(1/(y-y^2))dy等于多少?怎么算?∫(1/(y-y^2))dy等于多少?怎么算?答:∫1/(y-y^2)dy=∫{1/[y(1-y)]}dy=

∫(1/(y-y^2))dy 等于多少?怎么算?
∫(1/(y-y^2))dy 等于多少?怎么算?

∫(1/(y-y^2))dy 等于多少?怎么算?
答:
∫1/(y-y^2)dy
=∫{1/[y(1-y)]}dy
=∫[1/y+1/(1-y)]dy
=∫1/ydy+∫1/(1-y)dy
=In│y│-In│1-y│+C
=In│y/(1-y)│+C
C为常数.