Find the two-term asymptotic expansion of the integral \[ I(s)=\int _0^3 \frac {e^{s(-t^2+4t-3)}}{5+t}\,dt, \] \(s\) is real, and \(s\to +\infty \).
Question
Math 6420 • PDE
Fall 2006 • Question 10
Question
Fall 2006 • Question 10
Find the two-term asymptotic expansion of the integral \[ I(s)=\int _0^3 \frac {e^{s(-t^2+4t-3)}}{5+t}\,dt, \] \(s\) is real, and \(s\to +\infty \).