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Evaluate the double integral by first identifying it together the volume that a solid. 0 votes

Evaluate the dual integral by an initial identifying it as the volume that a solid.

You are watching: Evaluate the double integral by first identifying it as the volume of a solid.

Step 1:

The twin integral is

and an ar is
.

Volume of the solid :

If

, climate the volume
that the solid the lies over the rectangle
and also

below the surface

is
.

Therefore the twin integral

to represent volume that the solid, below the surface ar

and above the rectangle .

From the definition of double integrals,

.

.

Solution :

The double integral

to represent volume of the solid.

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.