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Hi Please I need your help to solve this problem the book is real analysis by Royden Chapter 4 thanks

Hi Please I need your help to solve this problem the book is real analysis by Royden Chapter 4 thanks 

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Solution of MinisterIronShark26’s Questions
October 16, 2015
Question 1. Determine all values of α and β such that the function f (x) =
xα sin xβ is Lebesgue integrable over (0, 1].
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