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

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

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

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

If int_(0)^((pi)/(2))sin2x dx=(4a)/(pi) , find the value of a.

Evaluate : int_(0)^((pi)/(2)) (x sin x.cosx)/(sin^(4)x+cos^(4)x)dx

(i) Show that int_(0)^(pi)xf(sinx)dx =(pi)/(2)int_(0)^(pi)f (sin x)dx. (ii) Find the value of int_(-1)^(3//2)|x sin pix|dx .

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