Resumen de A shortcut for solving the ubiquitous integral xn eα x dx using only derivatives

F. M. S. Lima

• In this note, I present an ‘easy-to-be-remembered’ shortcut for promptly solving the ubiquitous integral xn eα x dx for any integer n > 0 using only the successive derivatives of xn. Some interesting applications are indicated. The shortcut is so simple that it could well be included in calculus textbooks and classes directed to first year undergraduates.