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Evaluate Rb2x2+a2y2dA\iint _ { R } \sqrt { b ^ { 2 } x ^ { 2 } + a ^ { 2 } y ^ { 2 } } d A

Question 25

Essay

Evaluate Rb2x2+a2y2dA\iint _ { R } \sqrt { b ^ { 2 } x ^ { 2 } + a ^ { 2 } y ^ { 2 } } d A , where R is the region enclosed by the ellipse x2a2+y2b2=1\frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { b ^ { 2 } } = 1 .

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