What integral must be evaluated to find the area of the

Chapter 8, Problem 4E

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QUESTION:

What integral must be evaluated to find the area of the region bounded by the polar graphs of \(r=f(\theta)\ \text{and}\ r=g(\theta)\) on the interval \(\alpha\ \leq\ \theta\ \leq\ \beta\), where \(f(\theta)\ \geq\ g(\theta)\ \geq\ 0\)?

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QUESTION:

What integral must be evaluated to find the area of the region bounded by the polar graphs of \(r=f(\theta)\ \text{and}\ r=g(\theta)\) on the interval \(\alpha\ \leq\ \theta\ \leq\ \beta\), where \(f(\theta)\ \geq\ g(\theta)\ \geq\ 0\)?

ANSWER:

Solution 4E

Step 1:

In this problem we need to find the area of the region bounded by the polar graphs of and on the interval , where f(θ) ≥

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