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(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
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.
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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