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

0214-23dxdydz

Short Answer

Expert verified

The value of the triple integral is 30.

Step by step solution

01

Step 1. Given information.

Consider the given information.

0214-23dxdydz

02

Step 2. Graph the solid.

By using the limits, sketch the given solid.

-2x31y40z2

And,

03

Step 3. Calculate the integral.

Integrate by using limit and solve.

0214-23dxdydz=0214x-23dydz=02143--2dydz=502y14dz=5024-1dz=15z02=30

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