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MHT CET2009MathematicsIndefinite Integration

e^ x (x-1) x² d x is equal to

Options

  1. Ae^ x x² +c
  2. B-e^ x x² +c
  3. Ce^ x x +c
  4. D-e^ x x +c

Correct answer

C. e^ x x +c

Step-by-step solution

e^ x ( x-1 x² ) d x = e^ x ( 1 x - 1 x² ) d x= e^ x x +c [ e^ x [f(x)+f^ (x) ] d x=e^ x f(x)+c ]

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