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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.

15-20-13dzdydx

Short Answer

Expert verified

The obtained integral is 32.

Step by step solution

01

Step 1. GIven information.

Consider the given information.

15-20-13dzdydx

02

Step 2. Graph the solid.

By using the limits, sketch the given solid.

-1z3-2y01x5

And,

03

Step 3. Calculate the integral.

Integrate by using limit and solve.

15-20-13dzdydx=15-20z-13dydx=15-203--1-13dydx=415y-20dx=4150--2dx=8x15=85-1=32

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