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Series: Calculus: Applications of Integral Calculus

About this Series

  • Lessons: 18
  • Total Time: 3h 6m
  • Use: Watch Online & Download
  • Access Period: Unlimited
  • Created At: 07/29/2009
  • Last Updated At: 06/01/2011

In this 18-lesson series, we'll look at several applications of integral calculus. Integrals and calculus are used to find the average value of a function, the volume of a cross section, the volume of a disk, the volume of a washer, the amount of work done, the length of an arc that is a part of a function, and the center of mass for a continuous object. For each of these calculations, we'll review the explanation behind how they work and we'll look at examples of problems involving them.

The shell method and disk methods will be covered as alternatives to calculating the volume of a solid of revolution (or disk or washer). Hooke's law will also be covered; it provides a formula for calculating the force needed to pull a spring a prescribed distance.

Taught by Professor Edward Burger, this series comes from a comprehensive Calculus course. This course and others are available from Thinkwell, Inc. The full course can be found at The full course covers limits, derivatives, implicit differentiation, integration or antidifferentiation, L'Hopital's Rule, functions and their inverses, improper integrals, integral calculus, differential calculus, sequences, series, differential equations, parametric equations, polar coordinates, vector calculus and a variety of other AP Calculus, College Calculus and Calculus II topics.

About this Author

2174 lessons

Founded in 1997, Thinkwell has succeeded in creating "next-generation" textbooks that help students learn and teachers teach. Capitalizing on the power of new technology, Thinkwell products prepare students more effectively for their coursework than any printed textbook can. Thinkwell has assembled a group of talented industry professionals who have shaped the company into the leading provider of technology-based textbooks. For more information about Thinkwell, please visit or visit Thinkwell's Video Lesson Store at

Thinkwell lessons feature a star-studded cast of outstanding university professors: Edward Burger (Pre-Algebra through...

Lessons Included

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Below are the descriptions for each of the lessons included in the series:

Supplementary Files: