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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.

multiple-integralsaskedFeb 18, 2015in CALCULUSby anonymous
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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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*
.

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