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MHT CET202012 Oct 2020Evening ShiftMathematicsDefinite IntegrationActual

_ - 2 ^ 2 ² x d x=

Options

  1. A4
  2. B3
  3. C2
  4. D3 4

Correct answer

C. 2

Step-by-step solution

Let f(x)= ² x f (- x )=[ (- x )]²= ² x Thus ² x is an even function. _ - 2 ^ 2 ² x d x=2 ₀^ 2 ² x d x=2 ₀^ 2 1 2 (1- 2 x) d x= [x- 2 x 2 ]₀^ 2 = ( 2 -0 )- ( 2 - 0 2 )= 2

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