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Q. 15

Found in: Page 510


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

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Short Answer

For each pair of definite integrals in exercise 13-18 decide which if either is larger without computing the integrals

π02x4dx and π02(x4-16)dx

The integral π02x4dx is bigger

See the step by step solution

Step by Step Solution

Step 1: Given information

We are given two integrals

π02x4dx and π02(x4-16)dx

Step 2: Explaination

The term x4 is bigger than term x4-16

Hence on integrating we will get the term 16x in second integral And after substituting the limits the second term will be 16 less than that of first term. Hence the first term is bigger

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