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Let the function f : R → R and g : R → R be defined by f(x) = e x – 1 – e –|x – 1| and g(x) = 1 2 (e x – 1 + e 1 – x ). Then the area of the region in the first quadrant bounded by the curves y = f(x), y = g(x) and x = 0 is-

1 1 (2 3 ) (e e ) 2 − − + −
1 1 (2 3 ) (e e ) 2 − + + −
1 1 (2 3 ) (e e ) 2 − − + +
1 1 (2 3 ) (e e ) 2 − + + +

Correct answer: 1 1 (2 3 ) (e e ) 2 − − + −

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