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# - Applications of Integration Day 4 Volume formulas for rotation around the axes(based on cross-sectional areas Disk Washer f(x around the x-axis

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Calculus Applications of Integration Page 13 Applications of Integration Day 4 Volume formulas for rotation around the axes (based on cross-sectional areas): Disk Washer f(x) around the x-axis region between f(x) and g(x) around x-axis f(y) around the y-axis region between f(y) and g(y) around y-axis More Volumes using the Washer Method Example 1 (1985 exam) The region bounded by the curves y = e x and y = e x is rotated about the x-axis to generate a solid. Find the volume of the solid.

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Calculus Applications of Integration Page 14 Example 2 Find the volume of the solid generated by revolving the region bounded y = x 2 and y = 2 x about the y-axis Rotating Regions about lines parallel to the axes. First idea – think of distances in terms of x and y values Graph y = x 2 below and pick a point (x, y). Consider distances from the point to the lines y=3 and y=–1. Then consider distances from point to the lines x = 2 and x = –2
Calculus Applications of Integration Page 15 Example 3

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## This note was uploaded on 02/04/2011 for the course MATH 116 taught by Professor John during the Spring '10 term at St. Michael.

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- Applications of Integration Day 4 Volume formulas for rotation around the axes(based on cross-sectional areas Disk Washer f(x around the x-axis

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