$\int_{1 / 2}^{1 / \sqrt{2}} \frac{1}{\left(x+\sqrt{1-x^2}\right)\left(1-x^2\right)} d x=$

• A

  $\log (\sqrt{3}+1)$
• B

  $\log (\sqrt{3}-1)$
• C

  $\log (3+\sqrt{3})$
• Correct answer
  D

  $\log (3-\sqrt{3})$

Hence, the correct answer is option: 'D'.