$\int_0^{\pi / 2} \frac{\sin x}{1+\cos x+\sin x} d x=$

• A

  $\frac{\pi}{2}+\frac{1}{2} \log 2$
• Correct answer
  B

  $\frac{\pi}{4}-\frac{1}{2} \log 2$
• C

  $\frac{\pi}{4}$
• D

  $\frac{3 \pi}{4}+\log 2$

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