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Applet for constructing antiderivative graph

User can draw a function \(f(x)\) using a nice smoothing algorithm, then a simple slide interaction draws a rectangle whose height is given by the average value of the function from \(a\) to \(b\)

Fundamental Theorem

Fundamental Theorem of Calculus

Worksheets are provided with sample questions on investigating the Fundamental Theorem of Calculus.

Fundamental Theorem

Fundamental Theorem of Calculus

Exploraton of The Fundamental Theorem (both parts) using worked examples in applets.

Fundamental Theorem

Sine Waves and Sound

A complete lesson on sinusoidal waves and acoustics. An embedded spreadsheet provides an interactive resource for phase shifts; otherwise, this is a static text-based webpage.

Calculus Functions, One-Variable Calculus

Maths is Fun: College Algebra

A thorough review of high school algebra presented as a series of HTML pages with some Flash applets and JavaScript modules embedded.

Calculus Functions, Functions In General, Graphers and Definitions, Background

Sign of Derivative with SVG Animation

This graphic presentation illustrates the relationship between the shape of a function and the sign of the first derivative.

Differentiation: General Applications, One-Variable Calculus

The Product Rule

Wolfram's demo for the product rule, with dropdown menus for the functions. Users can download the free Mathematica Player to play a live version of the demo.

Differentiation: Calculation Rules

Illustrating the Washer Method

Java applet allows the user to visualize the washer method for finding the volume of a solid formed by revolving a specific region about the \(x\)-axis.

Integration: Applications

Combinations: Product and Quotient

Three adjacent windows display graphs of (1) a function \(f\) and its derivative, (2) a function \(g\) and its derivative, and (3) a function \(h\) and its derivative.

Differentiation: Calculation Rules, One-Variable Calculus