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Evaluate Rsin(9x2+4y2)dA\iint _ { R } \sin \left( 9 x ^ { 2 } + 4 y ^ { 2 } \right) d A

Question 39

Essay

Evaluate Rsin(9x2+4y2)dA\iint _ { R } \sin \left( 9 x ^ { 2 } + 4 y ^ { 2 } \right) d A by making an appropriate change of variables, where R is the region in the first quadrant bounded by the ellipse 9x2+4y2=19 x ^ { 2 } + 4 y ^ { 2 } = 1 .

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