The area of the region given by A = x , y : x 2 ≤ y ≤ min x + 2 , 4 - 3 x is

The area of the region given by A=x,y:x2≤y≤minx+2,4-3x is
  1. 318
  2. 176
  3. 196
  4. 278

Solution

The graph of y=x2 & y=minx+2,4-3x will be

From the graph,

required area A=∫-112x+2-x2dx+∫1214-3x-x2dx

=x22+2x-x33-112+4x-3x22-x33121=176

Asked in: JEE Main 2022 (25 Jul Shift 1)

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