Evaluate the iterated integral 
by converting to polar coordinates. Round your answer to four decimal places.
Definitions:
Sleep Patterns
The cyclical patterns of sleep, including stages of REM and non-REM sleep, that repeat through the night.
K Complexes
A type of brainwave that appears during Stage 2 of sleep, signifying periods of brain silence or reduced neural activity.
Sleep Spindles
These are brief bursts of brain activity characterized by their waxing and waning appearance on an EEG, typically occurring during stage 2 of sleep.
Stage 2 Sleep
A period of light sleep before entering deeper sleep, characterized by specific patterns such as sleep spindles and K-complexes.
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