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NTA Abhyas JEE Main2020MathematicsArea Under CurvesPractice

The area bounded by y = x e x and the lines x = 1 , y = 0 is

Options

  1. A4 s q u n i t s
  2. B6 s q u n i t s
  3. C1 s q u n i t
  4. D2 s q u n i t s

Correct answer

D. 2 s q u n i t s

Step-by-step solution

Since, x = 1 ∴ x = ± 1 ∴           y = x e x = x e − x ,       − 1 < x < 0 x e x ,                       0 < x < 1 ∴ Required area = ∫ - 1 0 x e - x d x + ∫ 0 1 x e x d x - x e - x - e - x - 1 0 + x e x - e x 0 1 = 1 + 1 = 2 s q u n i t s

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