Consider the double integral (Check image for the integral) a) What difficulty arises when proceeding to carry out the calculation of the integral with the established order of differentials, that is, with the order dydx? b) Could the calculation of the integral be carried out by reversing the order of integration? Argue your answe
Consider the double integral (Check image for the integral) a) What difficulty arises when proceeding to carry out the calculation of the integral with the established order of differentials, that is, with the order dydx? b) Could the calculation of the integral be carried out by reversing the order of integration? Argue your answe
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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Question
Consider the double integral (Check image for the integral)
a) What difficulty arises when proceeding to carry out the calculation of the integral with the established order of
b) Could the calculation of the integral be carried out by reversing the order of

Transcribed Image Text:11
le dydx
00
Expert Solution

Step 1
(a) Since we can integrate but to integrate , we don't have any specific formula.
So, we are unable to integrate .
So, it is not possible to integrate in rectangular coordinates. But after converting the integral into polar coordinates, we can evaluate the integral.
For this purpose, substitute
Then, we can integrate easily for going from 0 to 1 and varies from 0 to
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