prove that `int_0^oo x^2/((x^2+a^2)(x^2+b^2))dx=pi/(2(a+b))`

Given that int_0^oo(x^2)/((x^2+a^2)(x^2+b^2)(x^2+c^2))dx=pi/(2(a+b)(b+c)(c+a)) the value of int_0^oo(dx)/((x ^2+4)(x^2+9)), is pi/(60) b. pi/(40) c. pi/(20) d. pi/(80)

Given that int_0^oo(x^2)/((x^2+a^2)(x^2+b^2)(x^2+c^2))dx=pi/(2(a+b)(b+c)(c+a)) the value of int_0^oo(dx)/((x ^2+4)(x^2+9)), is a. pi/(60) b. pi/(40) c. pi/(20) d. pi/(80)

int_0^oo (dx)/((x^2+4)(x^2+9)

Prove that int_0^pi x/(a^2cos^2x+b^2sin^2x)dx=pi^2/(2ab)

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

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

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

Given int_0^(oo) (x^(2)dx)/((x^(2)+a^(2))(x^(2)+b^(2))(x^(2)+c^(2))) = pi/(2(a+b)(b+c)(c+a)) the value of int_0^(oo) (dx)/((x^(2)+4)(x^(2)+9)) =

Prove that int_0^(pi/2)(dx)/(a^2cos^2x+b^2sin^2x)=pi/(2ab),a,b>0