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

int_(0)^( pi/4)(1+sin2x)/(cos x+sin x)dx

int_(0)^((pi)/(2))(1)/(4cos^(2)x+9sin^(2)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:

int_(0)^(pi//2)(1)/(4cos^(2)x+9sin^(2)x)dx=

If |(int_(0)^((pi)/(2))(x cos x+1)e^(sin x)dx)/((int_(0)^(x))/(2)(x sin x-1)e^(cos x)dx)|, then [alpha]=

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

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

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

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