∫(1/(y-y^2))dy 等于多少?怎么算?

问题描述:

∫(1/(y-y^2))dy 等于多少?怎么算?
1个回答 分类:数学 2014-12-09

问题解答:

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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.
 
 
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