Chapter 6 Equations.pdf - Chapter 6 Equations 6.1 Disk Method Disk Method About the-Axis = �)2 = �)2 −)2 Disk Method About the-Axis = �)2 = �)2

Chapter 6 Equations.pdf - Chapter 6 Equations 6.1 Disk...

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Unformatted text preview: Chapter 6 Equations 6.1 Disk Method Disk Method About the -Axis = ∫ ()2 = ∫ (()2 − ()2 ) Disk Method About the -Axis = ∫ ()2 = ∫ (()2 − ()2 ) 6.2 Shell Method Shell Method About the -axis = ∫ 2() = ∫ 2(() − ()) Shell Method About the -axis = ∫ 2() = ∫ 2(() − ()) 6.3 Arc Length Arc Length of the Curve = () = ∫ √1 + [′()]2 Arc Length of the Curve = () = ∫ √1 + [′()]2 6.4 Surface Area Area of the Surface Generated by Revolving About the -axis = ∫ 2()√1 + [′()]2 Area of the Surface Generated by Revolving About the -axis = ∫ 2()√1 + [′()]2 ...
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