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    Double Integral

    Indefinite integral

    integral integral(x^2 + y^2) dy dx = c_1 y + c_2 + (x^3 y)/3 + (x y^3)/3

    3D plot

    3D plot

    Contour plot

    Contour plot

    Definite integral over a square of edge length 2 L

    integral_(-L)^L integral_(-L)^L (x^2 + y^2) dy dx = (8 L^4)/3

    Definite integral over a disk of radius R

    integral integral_(x^2 + y^2<R^2)(x^2 + y^2) dx dy = (Ï€ R^4)/2

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