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The value of ∫ 1 2 x - 1 x 2 - x d x is equal to (where c is the constant of integration)

Options

  1. As e c - 1 x - 1 + c
  2. Bs e c - 1 2 x - 1 + c
  3. Ct a n - 1 x + c
  4. Dt a n - 1 2 x - 1 + c

Correct answer

B. s e c - 1 2 x - 1 + c

Step-by-step solution

∫ 2 2 x - 1 4 x 2 - 4 x d x = 2 ∫ d x 2 x - 1 2 x - 1 2 - 1 = 2 × 1 2 s e c - 1 2 x - 1 + c

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