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Integration of the Weibull distribution

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I am trying to integrate the attached function ( a version of Weibull distribution). I have the solution in Maple -- I think. But I cannot prove it. Tried Integration by parts but still missing something. Please Integrate with respect to y.

If it is not clear from the pdf
the function is basically : a/b * y ^ (a-1) * e^(-(y^a)/b).

The integral in Maple as best I can tell is: 1/(e^(-(y^a)/b)).

Thank you !!

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Solution Summary

This provides a proof of the Maple solution to an integration of Weibull distribution.

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