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Shell Method - AP Calculus - Lecture Notes, Study notes of Calculus

Birla Institute of Technology and ScienceCalculus

This lecture is from AP Calculus. Key important points are: Shell Method, Integral Equations, Limits, Volume of Solid, Region, Revolving Target

Typology: Study notes

2012/2013

Uploaded on 01/31/2013

ekavia
ekavia 🇮🇳

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Calculus 7.3A Notes LT: Find the volume of revolution using Shell method Horizontal axis of revolution: b sth | r(y) + hy) dy Vertical axis of revolution: b V= an | r(x) + h(x) dx Differential volume is a cylindrical shell (open-ended) Thickness of the shell is dx or dy (perpendicular to axis of rotation) Shells are coaxial with axis of rotation Examples Find the volume of the solid formed by revolving the region bounded by the following about the y-axis. Determine the geometric shape & compare the volume formula to the integral y=1l-x veasy=ex x=0 Wad = G-x) y=0 4 aw | ¥ Cex) &* ° 57932515 1/2