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Q. 38

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 1202π(1+sinθ)2dθ

The value of integral is 4.71 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 1202π(1+sinθ)2dθ

Step 2: Sketch the function

Comparing with standard equation we get r=1+sinθ

Using graphing utility we get

Step 3: Evaluate the integral

We get,


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