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

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

int_(0)^(1)log(3+x)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

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

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

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

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

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

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

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