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    Multivariable Calculus : Double Integral - Polar Coordinate

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    ( ∫ ^n_r means that n is on the top of the ∫ and r is on the bottom) Evaluate the given integral by first converting to polar coordinates:
    ∫ ^2_1 ∫ ^(square root of 2x - x^2)_0 (1/(square root of x^2 + y^2)) dy dx

    ∫: is the integral symbol

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    Solution Preview

    I show the same integral like this:


    First we must solve

    int(1/(sqrt(x^2+y^2),y=sqrt(2x-x^2)..0) and of course we must ...

    Solution Summary

    A double integral is solved. The polar coordinates are analyzed.