Solve the following integral: int_0^(oo) 1/x e^(-x/a) (e^(-e^(-((x−c)/(b)))))dx

Nyasia Flowers 2022-09-13 Answered
Solve the following integral:
0 1 x e x a ( e e ( x c b ) ) d x
I wanted to compute it by using Laplace Transform, but 1 x part made me confused and I could not reach to a solution.
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Answers (1)

allelog5
Answered 2022-09-14 Author has 19 answers
The integral won't converge, because
e x a ( e e ( x c b ) ) = e e c b + o ( 1 )
Around 0.

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