Cross-Sectional Volume Formulas
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6 Terms
1
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∫[f(x) - g(x)]² dx
Volume of a solid with square-shaped cross sections perpendicular to the x-axis.
2
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k∫[f(x) - g(x)]² dx
Volume of a solid with isosceles right triangle-shaped cross sections perpendicular to the x-axis.
3
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k∫[f(x) - g(x)]² dx
Volume of a solid with circle cross sections perpendicular to the x-axis (when the function represents diameter).
4
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k∫[f(x) - g(x)]² dx
Volume of a solid with rectangle-shaped cross sections perpendicular to the x-axis (if the height is given as ratio of the function).
5
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k∫[f(x) - g(x)]² dx
Volume of a solid with semicircle-shaped cross sections perpendicular to the x-axis.
6
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k∫[f(x) - g(x)]² dx
Volume of a solid with equilateral triangle-shaped cross sections perpendicular to the x-axis.
Note 
Flashcards (26)