Discuss-according-to-the-value-of-the-parametre-R-the-convergence-of-the-improper-integral-0-x-ln-x-e-x-dx-

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