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Let $A = \int\limits_0^1 \, \frac{{{e^t}\,\,\,d\,t}}{{1\,\, + \,\,t}}$ then $\int\limits_{a - 1}^a {\,\,\frac{{{e^{ - t}}\,dt}}{{t\, - \,a\, - \,1}}} $ has the value

• A
  $Ae^{-a}$
• ✓
  $-Ae^{-a}$
• C
  $-ae^{-a}$
• D
  $Ae^a$