\[\int\limits_{0}^{\infty }{\frac{dx}{({{x}^{2}}+{{a}^{2}})({{x}^{2}}+{{b}^{2}})}}\] is

\[\int\limits_{0}^{\infty }{\frac{dx}{({{x}^{2}}+{{a}^{2}})({{x}^{2}}+

1.	\[\int\limits_{0}^{\infty }{\frac{dx}{({{x}^{2}}+{{a}^{2}})({{x}^{2}}+{{b}^{2}})}}\] is
A.	\[\frac{\pi ab}{a+b}\]
B.	\[\frac{\pi }{2(a+b)}\]
C.	\[\frac{\pi }{2ab(a+b)}\]
D.	\[\frac{\pi (a+b)}{2ab}\]
Answer» D. \[\frac{\pi (a+b)}{2ab}\]

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\[\int\limits_{0}^{\infty }{\frac{dx}{({{x}^{2}}+{{a}^{2}})({{x}^{2}}+{{b}^{2}})}}\] is

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