Find the leading behavior of the integral \[ I=\int _0^3\frac {\cos x}{\sqrt {x}}e^{-sx}\,dx \] for large positive \(s\).
Question
Math 6420 • PDE
Spring 2014 • Question 9
Question
Spring 2014 • Question 9
Find the leading behavior of the integral \[ I=\int _0^3\frac {\cos x}{\sqrt {x}}e^{-sx}\,dx \] for large positive \(s\).