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MHT CET202123 Sep 2021Evening ShiftMathematicsIndefinite IntegrationActual

If x (x- ) d x=A x+B (x- )+c , then the value of A and B are respectively (where c is a constant of integration)

Options

  1. A,
  2. B,
  3. C- ,
  4. D- ,

Correct answer

A. ,

Step-by-step solution

aligned & Let I= x (x- ) d x & = [(x- )+ ] (x- ) d x= (x- ) + (x- ) (x- ) & = d x+ (x- ) (x- ) d x=( )(x)+( ) & | (x- )|+c aligned Comparing with given data, we get A = and B =

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