$\int \frac{\mathrm{x}}{\sqrt{\mathrm{x}^2-2 \mathrm{x}+5}} \mathrm{dx}=$

• Correct answer
  A

  $\sqrt{x^2-2 x+5}+\operatorname{Sinh}^{-1}\left(\frac{x-1}{2}\right)+c$
• B

  $\frac{1}{2} \sqrt{x^2-2 x+5}+\operatorname{Sin}^{-1}\left(\frac{x-1}{2}\right)+c$
• C

  $2 \sqrt{x^2-2 x+5}+\operatorname{Cosh}^{-1}\left(\frac{x-1}{2}\right)+c$
• D

  $\sqrt{x^2-2 x+5}-\operatorname{Cos}^{-1}\left(\frac{x-1}{2}\right)+c$

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