"Find the volume of the region enclosed between the survaces [tex]z=x^2 + y^2 [/tex] and [tex]z=2x[/tex]"(adsbygoogle = window.adsbygoogle || []).push({});

I figured that the simplest way of doing this was to switch to a cylindrical co-ordinate system. Can someone check that the limits of integration are then

[tex]-\frac{\pi}{2}\leq \theta \leq\frac{\pi}{2}[/tex]

[tex]0\leq\ r \leq 2\cos(\theta)[/tex]

[tex]r^2\leq\ z \leq 2 r \cos(\theta) [/tex]

(and the jacobian being r)

Thanks greatfully

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# Homework Help: Volume Integral

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