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KVPY2017MathematicsArea Under Curves

The area bounded by the curve y= 1 4 |4-x² | and y=7-|x| is

Options

  1. A18
  2. B32
  3. C36
  4. D64

Correct answer

B. 32

Step-by-step solution

Required Area aligned A =2 [ ₀²((7- x )- .& . 1 4 (4- x ² ) ) dx .+ ₂⁴ ((7- x )- 1 4 ( x ²-4 ) dx ) ] aligned solve this =32

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