Double integrals in polar form

In polar coordinates, we may wish to integrate a function

over a region bounded on the "inside" by the curve

, bounded on the "outside" by the curve

, and where

ranges from

. In this case we find that

. Don't forget the extra

that appears in the inside integral! In the first example that loads with the interactive figure,

, and

. Note on entering Greek symbols. You can easily enter

and

in the text fields above by typing Alt+t and Alt+p on your keyboard. Also observe that as you type an equation a symbol pop-up menu is available.

Developed for use with Thomas' Calculus, published by Pearson.

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