Volumes of Revolution
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Integration can be used to find the area of a region bounded by a curve whose equation you know.
Imagine that a curve, for example y = x², is rotated around the x-axis so that a solid is formed. The volume of the shape that is formed can be found using the formula:

© Matthew Pinkey

Other Notes in this Category

1. Chain, Product and Quotient
2. Differential Equations
3. Differentiation
4. Differentiation from 1st Principles
5. Differentiation of Trig Funcns
6. Exponentials & Logarithms
7. Implicit Differentiation
8. Integration
9. Integration by Parts
10. Integration by Substitution
11. Tangents and Normals
12. The Second Derivative
13. Uses of Differentiation
14. Volumes of Revolution

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