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Evaluating triple integrals: Each of the triple integrals that follows represents the volume of a solid. Sketch the solid and evaluate the integral.

-2204-x20ydzdydx

Short Answer

Expert verified

-2204-x20ydzdydx=163

Step by step solution

01

Given

We have to find the volume by using the triple integral.

-2204-x20ydzdydx
02

Evaluate the integral

V=-2204-x20ydzdydxV=-2204-x2ydydxV=-22y2204-x2dxV=12-22(4-x2)dxV=2×1202(4-x2)dxV=4x-x3302V=8-83V=163cubicunits

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