This is an interactive demonstration of Lagrange Fit. Left click mouse in the plot area to place points. A minimum of four points are required. Right click mouse to see the Lagrange Fit. The value of the integral under the curve is also computed. Repeat choosing points by left clicking mouse, then right click to see the Lagrange Fit. Try radical selections of points to understand the behavior of the Lagrange Fit. This fits all points exactly. Only order N is available. See Algorithm to understand the method. See Code to read the Java code.