Applications of the Integral

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Several examples and tutorials dealing with integral calculus

An overview of integration techniques to determine volume. It includes examples on ring/washer method, cylindrical shells, volumes by cross-sections.

A helpful scientific calculator that runs in your web browser window.

In this video, Salman Khan of Khan Academy explains the Laplace transform. Part 2 of 6.

Excellent site showing examples of algebra, trig, calculus, differential equations, and linear algebra.

This calculus integral reference sheet contains the definition of an integral and the following methods for approximating definite integrals: left hand rectangle, right hand rectangle, midpoint rule, trapezoid rule, and Simpson’s rule. There is a list of many common integrals. Also included in this reference sheet is nice table for trigonometric substation when using integrals. Integration by substitution is defined as well as the integration by parts.

Good pictures showing the volume of revolution.

Very extensive help sheet that contains everything from simple derivative/integration formulas, to quick explanations of advanced derivation and integration techniques.

This website derives and has examples of how to calculate area in polar coordinates. It is detailed and explicit.

111 of the most common rules of integration.

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