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JEE Math Practice Question

$4 \int_0^1\left(\frac{1}{\sqrt{3+x^2}+\sqrt{1+x^2}}\right) d x-3 \log _e(\sqrt{3})$ is equal to :

  1. A.$2-\sqrt{2}-\log _{\mathrm{e}}(1+\sqrt{2})$
  2. B.$2+\sqrt{2}+\log _{\mathrm{e}}(1+\sqrt{2})$
  3. C.$2+\sqrt{2}-\log _{\mathrm{e}}(1+\sqrt{2})$
  4. D.$2-\sqrt{2}+\log _e(1+\sqrt{2})$

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