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MHT CET20228 Aug 2022Evening ShiftMathematicsIndefinite IntegrationActual

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

Options

  1. A2(- x x + x )
  2. B2(- x + x )
  3. C2( x + x x )
  4. D2( x x + x )

Correct answer

A. 2(- x x + x )

Step-by-step solution

aligned & x ~d x let x =t & d x=2 t ~d t & =2 t t ~d t & =2 t t ~d t- ( d t ~d t t ~d t ) d t [integrating by parts] & =2 t(- t)+ t ~d t & =2 -t t+ t +C & =2 - x x + x +C aligned

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