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Let [ x ] denote the greatest integer  x . Consider the function f ( x ) = max { x 2 , 1 + [ x ] } . Then the value of the integral  2 0 dx ) x ( f is

1. 3 2 5 1 
2. 3 2 4 5 
3. 3 2 4 8 
4. 3 2 5 4 

Correct answer: 3 2 4 5 

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