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MHT CET20227 Aug 2022Morning ShiftMathematicsDefinite IntegrationActual

_ - 2 ^ 2 f(x) d x= Where f(x)= |x|+ |x|, x [- 2 , 2 ] .

Options

  1. A0
  2. B8
  3. C4
  4. D2

Correct answer

C. 4

Step-by-step solution

aligned & _ - 2 ^ 2 f(x) d x= _ - 2 ^ 2 ( |x|+ |x|) d x & =2 ₀^ 2 ( |x|+ |x|) d x [ even function ] & 2 & =2 ₀( x+ x) d x [ x>0] & =2[- x+ x]₀^ 2 =4 aligned

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