Volume usingiterated triple integral

MozAngeles
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Homework Statement



Write an iterated triple integral in the order dzdydx for the volume of the region in the first octant enclosed by the cylinder x2+y2=4 anf the plane z=4. (You do not need to evaluate)

Homework Equations





The Attempt at a Solution


I think I have the right set up, but I wanted to make sure. V=∭ dzdydx ... x from 0 to 2, y from -sqrt(4-x2) to sqrt(4-x2) and z from 0 to 4...

Thanks for the help in advance


 
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MozAngeles said:

Homework Statement



Write an iterated triple integral in the order dzdydx for the volume of the region in the first octant enclosed by the cylinder x2+y2=4 anf the plane z=4. (You do not need to evaluate)

Homework Equations





The Attempt at a Solution


I think I have the right set up, but I wanted to make sure. V=∭ dzdydx ... x from 0 to 2, y from -sqrt(4-x2) to sqrt(4-x2) and z from 0 to 4...

Thanks for the help in advance

-sqrt(4-x2) isn't the first octant.
 
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