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JEE Main20257 Apr 2025Evening ShiftMathematicsArea Under CurvesActual

If the area of the region ( x , y ): 1+ x ^2 y x +7,11-3 x is A , then 3 A is equal to

Options

  1. A50
  2. B49
  3. C46
  4. D47

Correct answer

A. 50

Step-by-step solution

aligned & A= _ -2 ^1 (x+7-x^2-1 ) d x+ ₁^2 (11+3 x-x^2-1 ) d x & = [ x^2 2 +6 x- x^3 3 ]_ -2 ^1+ [10 x- 3 x^2 2 - x^3 3 ]₁^2 & = 50 3 3 A=50 Option (1) aligned

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