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The value of int(0)^(oo) (dx)/((x^(2)+4)...

The value of `int_(0)^(oo) (dx)/((x^(2)+4)(x^(2)+9) )` is

A

`1//60`

B

`1//80`

C

`1//40`

D

`1//20`

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The correct Answer is:
A
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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)

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