int log(1+x)^(1+x)dx

int log(x+1)^(x+1)dx

int ln(1+x)^(1+x)dx

Evaluate : int ln(1+x)/(1+x) dx

Which of the following is true Statement-I : int_(0)^(2pi) sqrt((1-cos2x)/(2)) dx=4 Statement-II : int_(-1)^(1) log((1+x)/(1-x))dx= 2 int_(0)^(1) log (1+ x)/(1-x)dx

Evaluate: (i) int(log x)/(x)dx( ii) int(log(1+(1)/(x)))/(x(1+x))dx

The function F(x)=int_(0)^(x) log((1-x)/(1+x))dx , is

Evaluate: underset0overset1 int (log(1+x))/(1+x^2)dx

Show that: overset(1)underset(0)int (log(1+x)/(1+x^2))dx= pi/8 log 2 .

The function F(x)=int_(0)^(pi)log((1-x)/(1+x))dx is

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