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

" 8."int_(0)^(oo)(log x)/(1+x^(2))dx

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

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

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

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

int_(0)^(1)(log|1+x|)/(1+x^(2))dx=(pi)/(8)log2

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

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