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AP EAMCET202316 May 2023Evening ShiftMathematicsIndefinite IntegrationActual

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

Options

  1. Ae^x ( x+ 1 x )+C
  2. Be ^ x ( x - 1 x )+ C
  3. Ce^x ( x+ 2 x )+C
  4. De ^ x ( x - 2 x )+ C

Correct answer

B. e ^ x ( x - 1 x )+ C

Step-by-step solution

e^x ( x+ 1 x^2 ) d x aligned & = e^x ( x- 1 x + 1 x + 1 x^2 ) d x & =e^x ( x- 1 x )+C aligned

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