Question

Set up, but do not evaluate or simplify, the definite integral(s) which could be used to...

Set up, but do not evaluate or simplify, the definite integral(s) which could be used to find the area of the region made up of points inside of the circle r = 3cos(θ) but outside of the rose r = cos(3θ)

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Homework Answers

Answer #1

We can plot the region as follows,

The area of a polar curve is given by,

The required area of the region is given by,

since both are even functions we can write,

after integrating,

I hope this answer helps,
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