(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[tex]\int\int_{Q}\int(x^4+2x^2y^2+y^4)dV[/tex] where Q is the cylindrical solid given by [tex]\{(x,y,x)| x^2+y^2 \leq a^2, 0\leqz\leq\frac{1}{\pi}\}[/tex]

2. Relevant equations

When I convert to cylindrical I get [tex] f(r,\theta,z) = r^4\cos^2\theta + 2r^4\cos^2\theta\sin^2\theta + r^2\sin^2\theta[/tex], but I just need the bounds for dr, is it? [tex]\int^a_0[/tex]

3. The attempt at a solution

[tex]\int^2\pi_0\int^a_0\int^\frac{1}{\pi}_0 f(r,\theta,z)rdzdrd\theta[/tex]

*the first integral is supposed to be from 0 to 2pi

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# Triple integral using cylindrical coordinates

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