area and volumes of revolution
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AP Calculus AB/BC
Area & Volume
Area & Volume
• Larson 6.1, 6.2, 6.3, FDWK 7.2, 7.3• Area Between Two Curves• Area Between Intersecting Curves• Area With Respect to • Volumes of Revolution – Disks• Volumes of Revolution – Washers• Volumes of Revolution – Cylindrical Shells• Solids With Known Cross-Sections
Area Between Two Curves
Example 1
Sketch the region bounded by the graphs of the algebraic functions
and find the area of the region.
Example 2
Sketch the region bounded by the graphs of the algebraic functions
and find the area of the region.
Example 3
Find the area enclosed between the graphs of
Click here for 1st video Click here for 2nd video
Example 4
Find the volume of the solid formed by revolving the region bounded by the -axis, the graph of and the line about the -axis.
Example 5
Find the volume of the solid formed by revolving the region bounded by the graphs of and about the -axis.
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