Suppose that $\displaystyle {f{{\left({x},{y}\right)}}}={6}{x}+{8}{y}$ and the region $\displaystyle {D}$ is given by $\displaystyle {\left\lbrace{\left({x},{y}\right)}{\mid}-{4}\le{x}\le{3},-{4}\le{y}\le{3}\right\rbrace}$.

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Then the double integral of $\displaystyle {f{{\left({x},{y}\right)}}}$ over $\displaystyle {D}$ is

$\displaystyle \int\int_{{D}}{f{{\left({x},{y}\right)}}}{d}{x}{\left.{d}{y}\right.}=$ Preview Question 6