$3$ attempts left

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Use polar coordinates to evaluate the double integral. Enter an exact form, do not use decimal approximation.

${\displaystyle \underset{R}{\overset{\phantom{}}{}}}{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}200e^{-x^2-y^2}dA,$ where $R$ is the disk $x^2{y}^{2}81$

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