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int(0)^(oo)e^(-x)dx...

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

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

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

underset is If int_(0)^(oo)e^(-ax)dx=(1)/(a), then int_(0)^(oo)(x^(n))e^(-ax)dx

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Let f(x)=int_(0)^(oo)e^(-x)x^(n-1)dx,n in N,x in Q^(+) Then the value of f(5) is (i)20(ii)5(iii)24 (iv) 120

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

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