Dead Polar Flower

Calculus Level 5

The diagram above shows a plot of the equation \[r = \theta(\theta - 2)(\theta - 4)(\theta - 6)\] for \(0 \leq \theta \leq 2\pi\). Your goal is to determine the total area of the regions bounded by the curve. Round your answers in 3 decimal places.

Inspiration that is easier than mine.

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