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MHT CET202618 April 2026Morning ShiftMathematicsArea Under CurvesActual

The area (in square units) bounded by the line y = x , the X-axis and the lines x = -2 and x = 4 is...

Options

  1. A6
  2. B15 2
  3. C17 2
  4. D10

Correct answer

D. 10

Step-by-step solution

The required area is given by the integral of |y| with respect to x from x = -2 to x = 4 . A = _ -2 ⁴ |x| dx A = _ -2 ⁰ (-x) dx + ₀⁴ x dx A = [ - x^2 2 ]_ -2 ⁰ + [ x^2 2 ]₀⁴ A = (0 - (- 4 2 ) ) + ( 16 2 - 0 ) A = 2 + 8 = 10 Answer: 10

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