int_(-1)^(1)log((3-x)/(3+x))dx=

int_(-1)^(1)log[(a-x)/(a+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

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

" 1) int_(0)^(1)5^(log_(3)x)dx =

int_(1)^(3)(log x)/(x)dx

int_(1)^(e )((log x)^(3))/(x)dx=

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

int_(1)^(3)(log x)^2/(x)dx

int_(1)^(3)(cos(log x))/(x)dx