Discuss according to the value of the parametre α∈R the convergence of the improper integral ∫


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Question Number 186858 by aba last updated on 11/Feb/23

$D i s c u s s a c c o r d i n g t o t h e v a l u e o f t h e p a r a m e t r e$ $α \in R t h e c o n v e r g e n c e o f t h e i m p r o p e r i n t e g r a l$ $\int_{0}^{+ \infty} x^{α} l n (x + e^{α x}) d x$
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