definite-integral

Question: $\int_{0}^{\infty }{\frac{{{x}^{2}}\,dx}{({{x}^{2}}+{{a}^{2}})({{x}^{2}}+{{b}^{2}})}}=$



1) $\frac{\pi }{2(a-b)}$
2) $\frac{\pi }{2(b-a)}$
3) $\frac{\pi }{(a+b)}$
4) $\frac{\pi }{2(a+b)}$
Solution: Explanation: No Explanation
Summation of series by definite Integration

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