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MHT CET202210 Aug 2022Evening ShiftMathematicsIndefinite IntegrationActual

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

Options

  1. A2[ x x + x ]+C
  2. B[ x x - x ]+C
  3. C2[ x x - x ]+C
  4. D[ x x + x ]+C

Correct answer

A. 2[ x x + x ]+C

Step-by-step solution

x d x let x =t i.e. d x=2 t ~d t=2 t t ~d t=2 [t t- t ~d t ] [integrating by parts] =2[t t+ t]+C=2[ x x + x ]+C

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