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I have this weird integral to find. I am actually trying to find the volume that is described by these two equations.

$$x^2+y^2=4$$ and

$$x^2+z^2=4$$ for

$$x\geq0, y\geq0, z\geq0$$

It is a weird object that has the plane $z=y$ as a divider for the two cylinders. My problems is that I can't find the integration limits.

I can't even draw this thing properly.

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    [Here, have a nice picture...](http://i.stack.imgur.com/tFs6w.png)2012-05-13
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    @J.M. Thanks. Do you mind sharing the code?2012-05-13
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    I used the `RegionPlot3D[]` function in *Mathematica* and gave it your set of inequalities...2012-05-13

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