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If int0^oo (x^2 \ dx)/((x^2+a^2)(x^2+b^2...

If `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))`, then value of `int_0^oo (dx)/((x^2+4)(x^2+9))` is (i) `pi/60` (ii)`pi/20` (iii)`pi/40` (iv)`pi/80`

A

`(pi)/(60)`

B

`(pi)/(20)`

C

`(pi)/(40)`

D

`(pi)/(13)`

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The correct Answer is:
A
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