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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.

0403-34x02-12x-23ydzdydx

Short Answer

Expert verified

0403-34x02-12x-23ydzdydx=4

Step by step solution

01

Given

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

0403-34x02-12x-23ydzdydx

02

Evaluate the integral

V=0403-34x02-12x-23ydzdydxV=0403-34x2-12x-23ydydxV=042y-12xy-23y2203-34xV=0423-34x-12x3-34x-133-34x2V=043-32x+316x2dxV=3x-32x22+316x3304V=12-12+4V=4cubicunits

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