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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336

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BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270336
Textbook Problem

Find the area of the region that is bounded by the given curve and lies in the specified sector.

3. r = sin θ + cos θ, 0 ≤ θπ

To determine

To Find: The area of the region that lies in the specified sector r=sinθ+cosθ,0θπ.

Explanation

Given:

The polar equation is r=sinθ+cosθ which tends to 0θπ.

Calculation:

Write the formula for area, A as below.

A=ab12r2dθ=0π12(sinθ+cosθ)2dθ

Substitute 1+sin2θ for (sinθ+cosθ)2

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