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

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

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

int_(0)^(1)log((1)/(x)-1)dx is equal to

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

int_(0)^(1)log((1)/(x)-1)dx (1) 0, (2) -(1)/(2) , (3) (1)/(2) , (4) (1)/(3)

Prove that (a) int_(0)^(pi//2)sin2xlog(tanx)dx=0 (b)int_(0)^(1)log((1)/(x)-1)dx=0

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

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

Evaluate the following integrals : int_(0)^(1)log|(1)/(x)-1|dx .

If I_(1)=int_(0)^(2pi)sin^(3)xdx and I_(2)=int_(0)^(1)ln((1)/(x)-1)dx , then

If I_(1)=int_(0)^(2pi)sin^(3)xdx and I_(2)=int_(0)^(1)ln((1)/(x)-1)dx , then