Illustration of scalar line integral

This applet enables you to expriment with the notion of the line integral of a scalar function along a curve in the plane. The integral can be interpreted as the net area of the green curtain above the curve and below the graph of the function (in the case the function takes on non-negative values). Enter your function formula and the component functions that define the curve in the plane. You can use the provided parameters: a, b, c in your input, and then change their values with sliders.