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.
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
((x^(2))/(9))+((y^(2))/(4))=1 in terms of an integral.
∫[0,3] 2/3 √(9-x^2) dx