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AP EAMCET202315 May 2023Morning ShiftMathematicsDefinite IntegrationActual

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

Options

  1. Ae^x x+C
  2. Be ^ x x + C
  3. Ce ^ x x + C
  4. De ^ x cosec x + C

Correct answer

B. e ^ x x + C

Step-by-step solution

aligned & Let I= e^x ( 2+ 2 x 1+ 2 x ) d x & = e^x ( 2+ 2 x 2 ^2 x ) d x & = e^x ^2 x d x+ e^x x d x & = [e^x ^2 d x- e^x x d x ]+ e^x x d x+c & =e^x x+c aligned

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