JEE Advanced 2020 Paper 1 Mathematics Q3

Mathematics

Problem

Let the functions f : ℝ ⟶ ℝ and g : ℝ ⟶ ℝ be defined by f(x) = e^(x−1) − e^(−|x−1|) and g(x) = ½(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

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