int_(0)^( pi)((x)/(1+sin x))dx

int_(0)^( pi)(dx)/(1+sin x)

If int_(0)^(1)(tan^(-1)x)/(x)dx=k int_(0)^( pi/2)(x)/(sin x)dx then k=

If int_(0)^(1)(tan^(-1)x)/(x)dx=k int_(0)^( pi/2)(x)/(sin x)dx then the value of k is

int_(0)^( pi)(x)/(1+sin^(2)x)dx

int_(0)^( pi)(x)/(1+sin^(2)x)dx

int_(0)^(1)(tan^(-1)x)/(x)dx is equals to int_(0)^((pi)/(2))(sin x)/(x)dx(b)int_(0)^((pi)/(2))(x)/(sin x)dx(1)/(2)int_(0)^((pi)/(2))(sin x)/(x)dx(d)(1)/(2)int_(0)^((pi)/(2))(x)/(sin x)dx

int_(0)^(pi) dx/(1-sin x)=

int_(0)^( pi)(x)/((1+sin^(2)x))dx

int_(0)^( pi)(x)/(1+sin^(2)x)*dx