`int_(0)^((pi)/(2))(acos^(2)x+bsin^(2)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

u,=int_(0)^((pi)/(2))cos((2 pi)/(3)sin^(2)x)dx and v,=int_(0)^((pi)/(2))cos((pi)/(3)sin x)dx

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

Evaluate: int_(0)^( pi)(pi-x)/(cos^(2)x+b^(2)sin^(2)x)dx

If A=int_(0)^( pi)(sin x)/(x^(2))dx, then int_(0)^((pi)/(2))(cos(2x))/(x)dx, is equal to:

If int_(0)^(pi) x f (cos^(2) x + tan ^(4) x ) dx = k int_(0)^(pi//2) f(cos^(2) x + tan ^(4) x ) dx then k =

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

int_(0)^( pi/2)sin^(2)(x/2)dx

int_(0)^((pi)/(2))(x sin x*cos x)dx