int(0)^(oo)(a^(-x)-b^(-x))dx,|a|gt1,|b|g...

`int_(0)^(oo)(a^(-x)-b^(-x))dx,|a|gt1,|b|gt1`

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Evaluate int_(0)^(oo)(a^(-x)-b^(-x))dx

int_(0)^(oo)(a^(x)-b^(x))/(c^(x))dx =

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

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

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

If int_(0)^(oo) e^(-x^(2))dx=sqrt((pi)/(2))"then"int_(0)^(oo) e^(-ax^(2)) dx, a gt0 , s

int_(0)^(1)(dx)/((x-a)(x-b))=

If I_(m)=int_(0)^(oo) e^(-x)x^(n-1)dx, "then" int_(0)^(oo) e^(-lambdax) x^(n-1)dx

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