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how do i get to solve this integral,i have no idea whatsoever so no one should expect what i have done.it was presented to me by a colleague

[x^(1/x)]^[x^(1/x)]^[x^(1/x)]^[x^(1/x)]^[x^(1/x)]^[x^(1/x)]^[x^(1/x)]............

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# Solve this integral

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