Question

Write familiar of area in double integral polar and cartesian

Answer 1

Answer:

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Double Integrals in Polar Coordinates. One of the particular cases of change of variables is the transformation from Cartesian to polar coordinate system.

Answer 2

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Again, just as in section on Double Integrals over Rectangular Regions, the double integral over a polar rectangular region can be expressed as an iterated integral in polar coordinates. Hence, ∬Rf(r,θ)dA=∬Rf(r,θ)rdrdθ=∫θ=βθ=α∫r=br=af(r,θ)rdrdθ.