How to logging unhandled exceptions in ASP.NET Web API 2 running on Azure Web Apps

ExceptionLoggerTraceRedirector.cs

public class ExceptionLoggerTraceRedirector : ExceptionLogger
{
    public override void Log(ExceptionLoggerContext context)
    {
        var logtext = new StringBuilder();
        logtext.AppendLine($"Request: {context.Request}").AppendLine();
        logtext.AppendLine($"Exception: {context.Exception}");
        Trace.TraceError(logtext.ToString());
    }
}

WebApiConfig.cs

public static class WebApiConfig
{
    public static void Register(HttpConfiguration config)
    {
        // Web API configuration and services
        config.Services.Replace(typeof(IExceptionLogger), new ExceptionLoggerTraceRedirector());

        // Web API routes
        config.MapHttpAttributeRoutes();

        config.Routes.MapHttpRoute(
            name: "DefaultApi",
            routeTemplate: "api/{controller}/{id}",
            defaults: new { id = RouteParameter.Optional }
        );
    }
}