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MHT CET2009MathematicsIndefinite Integration

x x d x is equal to

Options

  1. Ax² 4 (2 x-1)+c
  2. Bx² 2 (2 x-1)+c
  3. Cx² 4 (2 x+1)+c
  4. Dx² 2 (2 x+1)

Correct answer

A. x² 4 (2 x-1)+c

Step-by-step solution

aligned x _ I x d x &= x x² 2 - 1 x x² 2 d x &= x² 2 x- 1 2 x² 2 +c &= x² 4 (2 x-1)+c aligned

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