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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
10 Dec 2021

Given information

The given graphs are
 
 
 

Step-by-step explanation

Step 1.
From, the above graphs the areas can be represented as below:
   
(II)   
(III)   
Evaluate the first integral   .
Let   ,
then   
When   
When  
Since    
Substitute    in   and get below:
 
Since the definite integral does not depend on the variable.
Thus, (I) = (II) .

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