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JEE Math Practice Question

$$\int\limits_{0}^{\infty} \frac{6}{e^{3 x}+6 e^{2 x}+11 e^{x}+6} d x=$$

  1. A.$$\log _{e}\left(\frac{256}{81}\right)$$
  2. B.$$\log _{e}\left(\frac{64}{27}\right)$$
  3. C.$$\log _{e}\left(\frac{32}{27}\right)$$
  4. D.$$\log _{e}\left(\frac{512}{81}\right)$$

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