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If int(0)^(oo)(dx)/((x^(2)+4)(x^(2)+9))=...

If `int_(0)^(oo)(dx)/((x^(2)+4)(x^(2)+9))=kpi` then the value of k is

A

`1//60`

B

`1//80`

C

`1/40`

D

`1//20`

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