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AP EAMCET201920 Apr 2019Evening ShiftMathematicsArea Under CurvesActual

The area (in square units) bounded by y= ⁻¹ x, y= ⁻¹ x and the Y -axis, is

Options

  1. A_e 4
  2. B_e 2
  3. C_e 3
  4. D_e 5

Correct answer

B. _e 2

Step-by-step solution

aligned & The required area =2 [ 4 - ₀^1 ⁻¹ x d x ] & = 2 -2 ₀^1 ⁻¹ x d x & . = 2 -2 [x ⁻¹ x )₀^1- ₀^1 x 1+x^2 d x ] & = 2 -2 [ 4 - 1 2 [ _e (1+x^2 ) ]₀^1 ] & = 2 - 2 + [ _e (1+x^2 ) ]₀^1 & = _e 2 aligned Hence, option (b) is correct.

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