" 1."int sin(2x+(pi)/(2))dx

If x in(-pi,pi) then int sqrt(1+sin((x)/(2)))dx

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

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:

int_(-pi)^( pi)(sin^(2)x)/(1+a^(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

If A = int_(0)^((pi)/(2))(sin^(3)x)/(1+cos^(2)s)dx and B=int_(0)^((pi)/(2))(cos^(2)x)/(1+sin^(2)x)dx , then (2A)/(B) is equal to