" 2.(i) "int_(-1)^(1)log((a-x)/(a+x))dx=0

I=int_(-1)^(1)log((2-x)/(2+x))dx

int_(0)^(1)log((1-x)/(x))dx=0

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

int_(0)^(1)log(3+x)dx

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

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

int_(0)^(1)(log(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

int_(0)^(1)(log(1+x))/(1+x^(2))dx

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