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MHT CET20228 Aug 2022Morning ShiftMathematicsIndefinite IntegrationActual

4 x x ~d x= (where C is a constant of integration.)

Options

  1. A3 x 3 +4 x+C
  2. B1 3 3 x- 2 3 x+C
  3. C2 3 x 3 +2 x+C
  4. D2 3 3 x-2 x+C

Correct answer

C. 2 3 x 3 +2 x+C

Step-by-step solution

aligned & 4 x x ~d x= 4 x x 2 x x ~d x=2 2 x 2 x d x & =2 3 x+ x d x & =2 3 x 3 + x +c & = 2 3 3 x+2 x+c aligned

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