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\begin{center}
\textbf{Multiple Integration}

\textit{\textbf{Double Integrals}}
\end{center}

\textbf{Question}

Evaluate the following double integral by inspection.

$\int \! \int_{x^2+y^2\le a^2} \left ( a - \sqrt{x^2+y^2} \right )
\,dA$


\textbf{Answer}

$\begin{array}{l}
\int \! \int_{x^2+y^2\le a^2} \left ( a - \sqrt{x^2+y^2} \right )
\,dA\\
=\textrm{volume of cone}\\
=\frac{1}{3}\pi a^3
\end{array}
 \ \ \
\begin{array}{c}
\epsfig{file=MI-1A-8.eps, width=40mm}
\end{array}$

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