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JEE Math Practice Question

If $$\int {\left( {{e^{2x}} + 2{e^x} - {e^{ - x}} - 1} \right){e^{\left( {{e^x} + {e^{ - x}}} \right)}}dx} $$ = $$g\left( x \right){e^{\left( {{e^x} + {e^{ - x}}} \right)}} + c$$ where c is a constant of integration, then g(0) is equal to :

  1. A.1
  2. B.2
  3. C.e
  4. D.e2

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