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Q. 41

Found in: Page 756


Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

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Short Answer

Each of the integral in exercise 38-44 represents the area of a region in a plane use polar coordinates to sketch the region and evaluate the expression

The integral is A=0π2sin2θdθ

The area is 1 units

The graph can be given as

See the step by step solution

Step by Step Solution

Step 1: Given information

We are given an integral representing area as A=0π2sin2θdθ

Step 2: Sketch the graph

On comparing with standard equation we get,


Using graphing utility we get,

Step 3: Evaluate

We are given A=0π2sin2θdθ

Using CAS calculator we get,


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