Prove that `int _0^1(x^7-1)/(logx)dx`

int (x-1)/(x(x-logx))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

Prove that int_(-1)x|x|dx=0

The value of int_(0)^(1)(x^(a)-1)/(logx)dx is

Prove that 0

Prove that, int_(2)^(e)[(1)/(logx)-(1)/((logx)^(2))]dx=e-(2)/(log2)

Prove that , int_(0)^(1)(dx)/(x^(2)+4x+5)=tan^(-1).(1)/(7)

Prove that int_0^1log(x/(1-x))dx=int_0^1log((1-x)/x)dx . Find the value of int_0^1log(x/(1-x))dx

Prove that : int (1)/(x[6(logx)^(2)+7logx+2]] dx= log |(1+log x^(2))/(2+log x^(3))|+c

int(logx-1)/(x)dx