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JEE Main2018MathematicsArea Under CurvesActual

If the area of the region bounded by the curves, y = x 2 , y = 1 x and the lines y = 0 and x = t t > 1 is 1 sq . unit , then t is equal to

Options

  1. Ae 2 3
  2. Be 3 2
  3. C3 2
  4. D4 3

Correct answer

A. e 2 3

Step-by-step solution

Area = ∫ 0 1 x 2 d x + ∫ 1 t 1 x d x = 1 ⇒ 1 3 + ln t = 1 ⇒ t = e 2 3

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