" (i) "int_(0)^((pi)/(2))(dx)/(5+4sin x)

Evaluate the following : int_(0)^((pi)/(2)) (dx)/( 5+4 sin^(2) x )

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

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

underset is If int_(0)^( pi)xf(sin x)dx=A int_(0)^((pi)/(2))f(sin x)dx, then A

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

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

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)/(4))sqrt(1+sin2x)dx

Show : int_(0)^((pi)/(2))sinxf(sin2x)dx=int_(0)^((pi)/(2))cosxf(sin2x)dx