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JEE Math Practice Question

If $$\int {{{({x^2} + 1){e^x}} \over {{{(x + 1)}^2}}}dx = f(x){e^x} + C} $$, where C is a constant, then $${{{d^3}f} \over {d{x^3}}}$$ at x = 1 is equal to :

  1. A.$$ - {3 \over 4}$$
  2. B.$${3 \over 4}$$
  3. C.$$ - {3 \over 2}$$
  4. D.$${3 \over 2}$$

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