Estimate the Integral of an Oscillatory Function (AsymptoticIntegrate)

In this example, the asymptotic expansion for an oscillatory complex exponential integral depending on a parameter is obtained using the method of stationary phase. The method relies on an analysis of the integrand in a neighborhood of the maximum for its real part.

Compute the leading term approximation for the integral of an oscillatory function.

The approximation is computed using the method of stationary phase.

Compare with a numerical approximation.