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int(0)^(oo)(x^(2)dx)/((x^(2)+a^(2))(x^(2...

int_(0)^(oo)(x^(2)dx)/((x^(2)+a^(2))(x^(2)+b^(2)))

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int_(0)^(oo)(x^(2))/((x^(2)+a^(2))(x^(2)+b^(2)))dx=(pi)/(2(a+b))

Prove that int_(0)^(oo) (dx)/((x^(2)+a^(2))(x^(2)+b^(2)))=(pi)/(2ab(a+b))

Evaluate: int_(0)^(oo)(1)/((x^(2)+a^(2))(x^(2)+b^(2)))dx

int_(0)^(oo)(dx)/((x^(2)+a^(2))(x^(2)+b^(2)))=

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I=int_(0)^(oo)(x)/((x^(2)+a^(2))^(2))dx

int_(0)^(oo) (ln x)/(x^(2)+a^(2))dx=