Use cylindrical coordinates to compute the integral ∫_{Q}{(x^4+2x^2y^2+y^4)dV}
Question: Problem #7: Use cylindrical coordinates to compute the integral
\[\iiint\limits_{Q}{\left( {{x}^{4}}+2{{x}^{2}}{{y}^{2}}+{{y}^{4}} \right)dV}\]where Q is the cylindrical solid given by
\[\left\{ \left( x,y,z \right):\,\,\,{{x}^{2}}+{{y}^{2}}\le {{a}^{2}},\,0\le z\le \frac{1}{\pi } \right\}\]
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Solution Format: Word Document
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