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Section 14.5 The Area Problem; The Integral

Learn how to calculate the volume of a solid of revolution using the integral and the formula for volume of revolution about the x-axis. Improve accuracy by using a larger number of thinner circular discs.

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Section 14.5 The Area Problem; The Integral

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  1. Section 14.5 The Area Problem; The Integral

  2. How is it calculated - 2 Just like the area under a continuous curve can be approximated by a series of narrow rectangles, the volume of a solid of revolution can be approximated by a series of thin circular discs: we could improve our accuracy by using a larger and larger number of circular discs, making them thinner and thinner

  3. Think of is as the um of lots of circles … where area of circle = r2 Volume of Revolution Formula The volume of revolution about the x-axis between x=a and x=b is: This formula you do need to know

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