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The equation of cartesian curve is x x^3 +y^3 = 3 xy. Calculate its area.
Convert it into polar coordinates first, so that x=r cosθ and y=rsinθ get r=r(θ), as shown in the figure "Leaves" corresponding to θ∈(0, π/2)? Area? = r dr dθ.

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Descartes, a famous scientist, listed the equation of x 3+y 3-3axy = 0 according to the characteristics of a bunch of petals and leaves curves he studied. This is the famous "Cartesian Leaf Line" (or "Leaf Line") in modern mathematics, and mathematicians have also given it a poetic name-Jasmine Petal Curve.