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MHT CET202014 Oct 2020Morning ShiftMathematicsIndefinite IntegrationActual

e^ x x (1+2 x) d x=

Options

  1. A1 x e^ x +c
  2. B2 x e^ x +c
  3. Cx 2 e^ x +c
  4. Dx e^ x +c

Correct answer

B. 2 x e^ x +c

Step-by-step solution

aligned I &= e^ x x (1+2 x) d x &= e^ x ( 1 x +2 x ) d x= e^ x (2 x + 1 x ) d x=2 e^ x ( x + 1 2 x ) d x &=2 e^ x x +c aligned

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