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JEE Main20257 Apr 2025Morning ShiftMathematicsArea Under CurvesActual

If the area of the region bounded by the curves (y=4- x^2 4 ) and (y= x-4 2 ) is equal to ( ), then (6 ) equals

Options

  1. A250
  2. B210
  3. C240
  4. D220

Correct answer

A. 250

Step-by-step solution

aligned & Area = _ -6 ^4 (4- x^2 4 )- ( x-4 2 ) d x & = _ -6 ^4 - x^2 4 - x-6 2 d x & =- x^3 12 - x^2 4 + .6 x |_ -6 ^4= 125 3 & 6 =250 aligned

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