Consider the integral $\mathrm{I}=\int_0^\pi \ln (\sin x) d x$ What is $\int_0^{\pi / 2} \ln (\sin x) d x$ equal to?

• A

  4 I
• B

  2 I
• C

  I
• Correct answer
  D

  $\frac{\mathrm{I}}{2}$

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