int(log(x+1))/(sqrt(x+1))dx

int(log sqrt(x+1))/((x+1))dx

If int_(log2)^(x) (1)/(sqrt(e^(x)-1))dx=(pi)/(6) then x is equal to

int log (x+sqrt(x^(2)-1))dx=

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

Prove that : int_(0)^(1) (log x)/(sqrt(1-x^(2)))dx=-(pi)/(2)log 2

int(log|x|)/(x sqrt(1+log|x|))dx=...+c .

int "log " sqrt(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 the following integrals: int(1)/(sqrt(x))dx (ii) int(1)/(x^(3))dx( iii) int a^(3)(log)_(a)x