Eccentricity of the rectangular hyperbola $\int_0^1 {{e^x}\left( {\frac{1}{x} - \frac{1}{{{x^3}}}} \right)} \;dx$ is

  • A

    $2$

  • B

    $\sqrt 2 $

  • C

    $1$

  • D

    $\frac{1}{{\sqrt 2 }}$

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