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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
22 Nov 2021

Given information

The integral is given as     

Step-by-step explanation

Step 1.
The integral becomes as:  
As, we know that
 
Case I: When  or  
The integral becomes as:   , which is an infinite number.
For   , , integral is divergent
Case II: When    or   
The integral becomes as:   , which is a finite number.
For   , integral is convergent and the value of   is   
Case III: When   
The integral becomes as:    which is an infinite number.
Therefore, the value of   is   for which   is convergent.
 

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