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    Multivariable Calculus : Double Integral - Polar Coordinates

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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:
     ^1_0  ^(square root of 1 - x^2)_0 (1/(square root of 4 - x^2 - y^2)) dy dx

    : is the integral symbol

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    https://brainmass.com/math/integrals/multivariable-calculus-double-integral-polar-coordinates-16108

    Solution Preview

    Solution. Let x=rcos(a), y=rsin(a)
    Then,

     ^1_0  ^(square root of ...

    Solution Summary

    A double integral is solved.

    $2.49

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