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

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

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

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

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

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

Prove that int_(0)^(1)log((x)/(x-1))dx=int_(0)^(1)log((x-1)/(x))dx . Find the value of int_(0)^(1)log((x)/(x-1))dx

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

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

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

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