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MHT CET202611 April 2026Morning ShiftMathematicsIndefinite IntegrationActual

x x + 2 dx is equal to

Options

  1. Ax + 2 (x + 2) + c
  2. Bx + (x + 2) + c
  3. Cx - (x + 2) + c
  4. Dx - 2 (x + 2) + c

Correct answer

D. x - 2 (x + 2) + c

Step-by-step solution

Let I = x x + 2 dx Adding and subtracting 2 in the numerator, we get: I = x + 2 - 2 x + 2 dx I = (1 - 2 x + 2 ) dx Integrating with respect to x : I = x - 2 (x + 2) + c Answer: x - 2 (x + 2) + c

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