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Calculating Double Integral – Finding integration limits and the integral – Exercise 3899


Calculate the double integral

\int\int_D \frac{1}{\sqrt{4-x}}dx dy

Where the domain D is bounded by the axes and the short arc of a circle having radius 2 and center at a point (2,2).

Final Answer

\int\int_D \frac{1}{\sqrt{4-x}}dx dy=8-5\frac{1}{3}\sqrt{2}


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