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∫ (dx/(x^2 + a^2)(x^2 + b^2)) for x ∈ [0,∞]

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∫ (dx/(x2 + a2)(x2 + b2)) for x ∈ [0,∞]

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= (π/2(b2 – a2)) (b – a/ab) 

= π/2(a + b)ab

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