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JEE Main202524 Jan 2025Morning ShiftMathematicsArea Under CurvesActual

The area of the region (x, y): x^2+4 x+2 y |x+2| is equal to

Options

  1. A7
  2. B5
  3. C24 / 5
  4. D20 / 3

Correct answer

D. 20 / 3

Step-by-step solution

x^2+4 x+2 y |x+2| aligned & A₁= _ -4 ^0 [2- (x^2+4 x+2 ) ] d x- 1 2 4 2 & = ( -x^3 3 -2 x^2 )_ -4 ^0-4 & =0- ( 64 3 -32 )-4 & =32- 64 3 -4= 20 3 aligned

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