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## Homework Statement

Question attached in attachments

## Homework Equations

Area enclosed by polar graph is ∫0.5r^2

where r is the radius as a function of angle theta

## The Attempt at a Solution

I attempted to use the formula above and I subtracted the area of the inside from the outside but it seems to yield an incorrect solution.

##0.5∫((2cos(3x))^2)dx-0.5∫4dx##

The limit of integration are from ##0## to ##2π##

The answer is D