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KCET2007MathematicsDefinite Integration

The value of the integral ₀^ / 2 ( ¹⁰⁰ x- ¹⁰⁰ x ) d x is

Options

  1. A1 100
  2. B100 ! (100)¹⁰⁰
  3. C100
  4. D0

Correct answer

D. 0

Step-by-step solution

Let I= ₀^ / 2 ( ¹⁰⁰ x- ¹⁰⁰ x ) d x aligned &= ₀^ / 2 ¹⁰⁰ x d x- ₀^ / 2 ¹⁰⁰ x d x &= [ ( x)¹⁰¹ 101 x ]₀^ / 2 &- [ ( x)¹⁰¹ 101 (- x) ]₀^ / 2 &=0+0=0 aligned

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