int_(0)^((pi)/(2))(dx)/(4+5cos x)

int_(0)^((pi)/(2))(1)/(4+5cos x)dx=

Evaluate int_(0)^(pi"/"2) (dx)/(4 + 5 cos x)

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

int_(0)^(pi//2) (1)/(4+3 cos x)dx

int_(0)^(pi//2) (1)/(4+3 cos x)dx

The value of int _(0)^(pi) (dx)/(5+4 cos x ) is

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)(dx)/((4+9cos^(2)x))