int_(0)^((pi)/(2))(1)/(1+2sin 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)/(2))(1)/(1+4sin^(2)x)dx

int_(0)^(pi//2)(1)/(5+13 sin x) dx=

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

If int_(0)^((pi)/(2))(dx)/(1+sin x+cos x)=In2, then the value of int_(0)^((pi)/(2))(sin x)/(1+sin x+cos x)dx is equal to:

Prove that, int_(0)^(pi)log(1+cos x)dx=-pi log2 , given int_(0)^((pi)/(2))log((sin x))dx=(pi)/(2)"log"(1)/(2) .

int_(0)^(pi//2)(1)/(13+5sin x)dx=

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

int_(0)^(pi//2)(1)/(1+4sin^(2)x)dx=

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