# Multivariable Calculus : Double Integral - Polar Coordinates

Not what you're looking for? Search our solutions OR ask your own Custom question.

(  ^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

Â© BrainMass Inc. brainmass.com November 30, 2021, 12:01 am ad1c9bdddfhttps://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