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COMEDK2013MathematicsDefinite Integration

₀^ / 2 x- x 1+ x x d x is equal to

Options

  1. A0
  2. B2
  3. C4
  4. D6

Correct answer

A. 0

Step-by-step solution

Let I= ₀^ / 2 x- x 1+ x x d x (i) array r = ₀^ / 2 ( 2 -x )- ( 2 -x ) 1+ ( 2 -x ) ( 2 -x ) d x [ ₀^ a f(x) d x= ₀^ a f(a-x) d x ] array I= ₀^ / 2 x- x 1+ x x d x On adding Eqs. (i) and (ii), we get 2 I=0 I=0

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