The integral \(\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\left(\frac{(1+\sqrt{|x|}) \sin ^2(x)+\sin (x)}{1+\sqrt{|x|}}\right) d x\) is equal to

• A

  \(0\)
• B

  \(\pi\)
• Correct answer
  C

  \(\frac{\pi}{2}\)
• D

  \(2 \pi\)

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