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\textbf{Multiple Integration}

\textit{\textbf{Double Integrals}}
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\textbf{Question}

Evaluate the following double integral by inspection.

$\int \! \int_R \,dA$,

where $R$ is the rectangle $-1 \le x \le 3$, $-4 \le y \le 1$.


\textbf{Answer}

$\begin{array}{l}
\int \! \int_R \,dA=\textrm{area of }R=4\times 5=30
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