2010-12-29
展开全部
1/(t-1) - 1/(t+1) dt 最后得什么啊 怎么求的 亲求详解
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d(ln(t-1)-ln(t+1))=dy=y'dt=1/(t-1) - 1/(t+1)dt
所以1/(t-1) - 1/(t+1)dt=d(ln(t-1)-ln(t+1))
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或者∫1/(t-1) - 1/(t+1) dt=ln(t-1)-ln(t+1)+C
则1/(t-1) - 1/(t+1) dt=d(ln(t-1)-ln(t+1)+C)=d(ln(t-1)-ln(t+1))
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d(ln(t-1)-ln(t+1))=dy=y'dt=1/(t-1) - 1/(t+1)dt
所以1/(t-1) - 1/(t+1)dt=d(ln(t-1)-ln(t+1))
======================================
或者∫1/(t-1) - 1/(t+1) dt=ln(t-1)-ln(t+1)+C
则1/(t-1) - 1/(t+1) dt=d(ln(t-1)-ln(t+1)+C)=d(ln(t-1)-ln(t+1))
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