# Multivariable Calculus : Double Integral - Polar Coordinates

(  ^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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#### Solution Preview

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

Then,

 ^1_0  ^(square root of ...

#### Solution Summary

A double integral is solved.

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