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" 12."int(0)^(1)log((1-x)/(x))dx=0...

" 12."int_(0)^(1)log((1-x)/(x))dx=0

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int_(0)^(1)log((1)/(x)-1)dx=

int_(0)^(1)log((1)/(x)-1)dx

Show that int_(0)^(1)log((1-x)/(x))dx=0

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int_(0)^(1)(log(1+x))/(1+x^(2))dx

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Prove that int_(0)^(1)log((1)/(x)-1)dx=0 .

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int_(0)^(1) log (1/x-1) dx =

I=int_(0)^(2)log((2)/(x)-1)dx