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Let the function f : [0, 2]  R be defined as f(x) =          ] 2 , 1 [ x , e ) 1 , 0 [ x , e ] x log x [ ]} x [ x , x min{ e 2 Where [t] denotes the greatest integer less than or equal to t. Then the value of the integral  2 0 dx ) x ( xf is

1. 1 + 2 e 3
2. (e – 1)        2 1 e 2
3. 2e – 1
4. 2e – 2 1

Correct answer: 2e – 2 1

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