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" 6."int(0)^(oo)(1)/(a^(2)+b^(2)-2^(2))d...

" 6."int_(0)^(oo)(1)/(a^(2)+b^(2)-2^(2))dx

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

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

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

int_(0)^(oo)(1)/(3+x^(2))dx

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

Evaluate: int_(0)^(a)(1)/((x^(2)+a^(2)))dx( ii) int_(0)^(oo)(x^(2))/((a^(2)+x^(2))^(5/2))dx

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

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

int_(0)^(oo)e^(-x/2)dx

int_(0)^(oo)e^(-x/2)dx