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Visualizing Regions of Integration in 3-D Cartesian Coordinates
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Description
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Working in Cartesian coordinates , and , select a volume element . (There are six possible choices: , , , , , .)
Enter an integrand and the appropriate bounds of integration.
Compute the value of the integral either exactly or numerically.
Obtain a graph of the 3-D region determined by the limits of integration. The bounding faces for the region of integration are drawn with the following color-coding: .
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Evaluate and Graph
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Volume Element
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, where
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