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AP EAMCET202319 May 2023Morning ShiftMathematicsIndefinite IntegrationActual

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

Options

  1. A1 2 e^ -2 x x+c
  2. B- 1 2 e^ -2 x x+c
  3. C1 2 e^ -2 x x+c
  4. D- 1 2 e^ -2 x x+c

Correct answer

A. 1 2 e^ -2 x x+c

Step-by-step solution

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

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