Calculate the integral \[ I=\int _0^\infty \frac {x^\alpha }{1+x}\,dx, \] where \(\alpha \) is a real number for which the integral converges.
Question
Math 6420 • PDE
Spring 2013 • Question 8
Question
Spring 2013 • Question 8
Calculate the integral \[ I=\int _0^\infty \frac {x^\alpha }{1+x}\,dx, \] where \(\alpha \) is a real number for which the integral converges.