(c) Using the previous part express the definite integral |r| da through the value of | z| dr [Here a is the absolute value (modulus) of a). Then evaluate the last integral directly from the definition of the Riemann integral. There- el dar. after deduce the value of
(c) Using the previous part express the definite integral |r| da through the value of | z| dr [Here a is the absolute value (modulus) of a). Then evaluate the last integral directly from the definition of the Riemann integral. There- el dar. after deduce the value of
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I need solution of only part c.
Dont need part a&b.
![1. Answer the following questions:
(a) What is an even function? How to recognise the graph of an even function?
(b) Explain, why for an even function f(r) we have:
-a
f(x) dar = f(x) dr where 0<a<b.
(c) Using the previous part express the definite integral | dr through the value of
ap|a|
[Here a| is the absolute value (modulus) of a].
Then evaluate the last integral directly from the definition of the Riemann integral. There-
after deduce the value of
|r| dr.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F947394f8-c939-4c1f-b403-7ecbbe117a89%2Facc9eece-cc40-4309-ba21-b8129e548f05%2Fnh2q67e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Answer the following questions:
(a) What is an even function? How to recognise the graph of an even function?
(b) Explain, why for an even function f(r) we have:
-a
f(x) dar = f(x) dr where 0<a<b.
(c) Using the previous part express the definite integral | dr through the value of
ap|a|
[Here a| is the absolute value (modulus) of a].
Then evaluate the last integral directly from the definition of the Riemann integral. There-
after deduce the value of
|r| dr.
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