Definite Integral Demo by Luke Janicke

This example demonstrates the calculation of definite integrals under an ellipse and the geometric meaning of the mean value theorem. It involves core concepts like definite integrals, ellipses, mean value theorem, function graphs, and means. The construction uses GeoGebra commands Point and NIntegral, with objects A, B, f, a, b, area, text1, text2 to represent the integral interval, function, area, and textual explanations. Suitable for high school students and beginners in calculus to learn the application and geometric interpretation of definite integrals.