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Volumes

Volumes. If S is a solid that lied between x = a and x = b and the cross sectional area is A(x), then the volume is . Definition.

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Volumes

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  1. Volumes

  2. If S is a solid that lied between x = a and x = b and the cross sectional area is A(x), then the volume is Definition

  3. When an individual strip under the function is revolved around an axis, it creates a circle of a given area. If the areas of each of these circles under the function are added together, we get the total volume of the Solid of Revolution http://www.youtube.com/watch?v=GUwUYFoG-84&feature=related The Disc Method

  4. Find the volume of the solid formed by revolving the region bounded by about the x-axis Calculating

  5. Find the volume of the sphere created by revolving about the x-axis Practice

  6. Find the volume of the solid obtained by rotating about the x-axis the region under the curve from 0 to 1 Practice

  7. Find the volume of the solid formed by revolving the region bounded by f(x) = 2- x2 and g(x) = 1 about the line y = 1 Practice

  8. Find the volume of the solid obtained by rotating the region bounded by y = x3, y = 8 and x = 0 about the y-axis. Practice

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