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NTA Abhyas JEE Main2020MathematicsArea Under CurvesPractice

The area (in sq. units) bounded by y = e x : x ≥ 0 e - x : x ≤ 0 with the x -axis from x = - 1 to x = 1 is

Options

  1. Ae
  2. B2 e
  3. C2 e - 2
  4. D2 e + 2

Correct answer

C. 2 e - 2

Step-by-step solution

Required area = ∫ - 1 0 e - x d x + ∫ 0 1 e x d x = - e - x - 1 0 + e x 0 1 = - 1 + e + e - 1 = 2 e - 2 sq. units

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