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JEE Math Practice Question

The value of $$\alpha $$ for which $$4\alpha \int\limits_{ - 1}^2 {{e^{ - \alpha \left| x \right|}}dx} = 5$$, is:

  1. A.$${\log _e}2$$
  2. B.$${\log _e}\sqrt 2 $$
  3. C.$${\log _e}\left( {{4 \over 3}} \right)$$
  4. D.$${\log _e}\left( {{3 \over 2}} \right)$$

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