Let the functions f : ℝ → ℝ and g : ℝ → ℝ be defined by
f(x) = e^x^{– 1} – e^–|^x^{– 1|} and g(x) = (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

Question

Let the functions f : ℝ → ℝ and g : ℝ → ℝ be defined by
f(x) = e^x^{– 1} – e^–|^x^{– 1|} and g(x) =

(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

Accepted Answer

(A)

Let the functions f : ℝ → ℝ and g : ℝ → ℝ be defined by f ( x ) = e x – 1 – e –| x – 1|…