11. \( \iint_{D} e^{-x^{2}-y^{2}} d A \), where \( D \) is the region bounded by the semicircle \( x=\sqrt{4-y^{2}} \) and the \( y \)-axis
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This semicircle is the right half of the circle \( x^2 + y^2 = 4 \) with center at the origin and radius 2. The \( y \)-axis bounds the region on the left. Show more…
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Evaluate the given integral by changing to polar coordinates. $$\begin{array}{l}{\iint_{D} e^{-x^{2}-y^{2}} d A, \text { where } D \text { is the region bounded by the }} \\ {\text { semicircle } x=\sqrt{4-y^{2}} \text { and the } y \text { -axis }}\end{array}$$
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Evaluate the given integral by changing to polar coordinates. $ \iint_D e^{-x^2 - y^2}\ dA $, where $ D $ is the region bounded by the semi-circle $ x = \sqrt{4 - y^2} $ and the y-axis
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