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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.

4. r = 1/θ, π/2 ≤ θ ≤ 2π

To determine

To Find: The area of the region that lies in the specified sector r=1θ,π/2θ2π.

Explanation

Given:

The polar equation is r=1θ which tends to π/2θ2π.

Calculation:

Write the formula for area, A as below.

A=ab12r2dθ=π/22π12(1θ)2dθ=12π/22π1θ2dθ=12π/22πθ2dθ

A=12π/22πθ2dθ=12[θ2+12+1]π/

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P-52RECh-10 P-53RECh-10 P-54RECh-10 P-55RECh-10 P-56RECh-10 P-57RECh-10 P-58RECh-10 P-1PCh-10 P-2PCh-10 P-3PCh-10 P-4PCh-10 P-5PCh-10 P-6P

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