`int_(0)^( pi)(xdx)/(a^(2)cos^(2)x+b^(2)sin^(2)x)`

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

Prove that : int_(0)^(pi) (x)/(a^(2) cos^(2) x+b^(2) sin^(2) x)dx =(pi^(2))/(2ab)

Prove that int_(0)^(pi//2)(dx)/((a^(2) sin^(2) x +b^(2) cos^(2)x)^(2))=(pi(a^(2)+b^(2)))/(4a^(3)b^(3)) .

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

If int_(0)^(pi)((x)/(1+sinx))^(2) dx=A, then the value for int_(0)^(pi)(2x^(2). cos^(2)x//2)/((1+ sin x^(2)))dx is equal to

int_(0)^(pi) sin^(4) x cos^(2)xdx =

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

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

3. int_(0)^( pi/2)sin^(2)x cos^(4)xdx

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