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int(0)^(oo)(1)/((x^(2)+a^(2))(x^(2)+b^(2...

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

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

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

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

int_(1)^(oo)(dx)/(x^(2))

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

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

If int_(0)^(oo)(x^(2)dx)/((x^(2)+a^(2))(x^(2)+b^(2))(x^(2)+c^(2)))=(pi)/(2(a+b)(b+c)(c+a))" then "int_(0)^(oo)(dx)/((x^(2)+4)(x^(2)+9))=

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

int_(0)^(oo)((1)/(x^(2)+1))dx