int_(a)^(b)(log x)/(x)dx

int_(a)^(b)(logx)/(x)dx=(1)/(2)log(ab)log((b)/(a))

int_(a)^(b)(log x)/(x)backslash dx=(1)/(2)log(ab)backslash log((b)/(a))

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

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

int_(a)^(b)(log x)/(x^(2))dx

If a=lim_(x rarr oo)(sin x)/(x)&b=lim_(x rarr0)(sin x)/(x) Then int_(a)^(b)(log(1+x))/(1+x^(2))dx is equal to

If a=lim_(x rarr oo)(sin x)/(x)&b=lim_(x rarr0)(sin x)/(x) Then int_(a)^(b)(log(1+x))/(1+x^(2))dx is equal to

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

Evaluate: int((log(log x))/(x)dx