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COMEDK202510 May 2025Evening ShiftMathematicsIndefinite IntegrationActual

x + x 1 + 2 x x dx = (x) + C (assuming x + x > 0 ). Then (x) =

Options

  1. A( x+ x)
  2. Bx
  3. Cx
  4. D( x)

Correct answer

C. x

Step-by-step solution

1 + 2 x x = ^2x + ^2x + 2 x x = ( x + x)^2 I = x + x ( x + x)^2 dx Since x + x > 0 : I = x + x x + x dx = 1 dx = x + C (x) = x

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