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X = x(u,v), y = y(u,v) (often one will only get or use the equations in one of these directions) To change the integral to u,vcoordinates, we then have to carry out the three steps A,B,C above A first step is to picture the new coordinate system;Title School District of Palm Beach County Mach Lakes Bulletin #30 Week of April 23 Author Created Date PMChange of Variables for Double Integrals We have already seen that, under the change of variables T(u, v) = (x, y) where x = g(u, v) and y = h(u, v), a small region ΔA in the xyplane is related to the area formed by the product ΔuΔv in the uvplane by the approximation ΔA ≈ J(u, v)Δu, Δv

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