Asked by Anonymous
Express the area of the region in the xy-plane enclosed by the curve
((x^(2))/(9))+((y^(2))/(4))=1 in terms of an integral.
((x^(2))/(9))+((y^(2))/(4))=1 in terms of an integral.
Answers
Answered by
Steve
the area is an ellipse. By symmetry, it's 4 times the area in the first quadrant, which is
∫[0,3] 2/3 √(9-x^2) dx
∫[0,3] 2/3 √(9-x^2) dx
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