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caesius
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Homework Statement
Evaluate the following triple integral
[tex]I = \int\int\int_{R}x dv[/tex]
in Cartesian coordinates where R is the finite region bounded by the surfaces z=0, y=x^3, y=8, z=x. Sketch the region R. Here dV is the element of volume.
Homework Equations
The Attempt at a Solution
What I'm having trouble with is setting up the limits of integration.
I already have
0 < z < x
x^3 < y < 8
but what about x?
And how do I know that the y and z limits are that way around and not x < z < 0 and 8 < y < x^3 instead?