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JEE Math Practice Question

A value of $$\alpha $$ such that $$\int\limits_\alpha ^{\alpha + 1} {{{dx} \over {\left( {x + \alpha } \right)\left( {x + \alpha + 1} \right)}}} = {\log _e}\left( {{9 \over 8}} \right)$$ is :

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

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