$\int_{-1}^{1} \frac{x^{3} + |x| + 3}{x^{2} + 4|x| + 3} dx$ का मान ज्ञात कीजिए।

• A
  $\frac{4}{\pi} \int_{0}^{\frac{\pi}{2}} \log(\sin \alpha) d\alpha$
• B
  $-\frac{4}{\pi} \int_{0}^{\frac{\pi}{2}} \log(\sin \theta) d\theta$
• C
  $-\frac{2}{\pi} \int_{0}^{\frac{\pi}{2}} \log(\sin 2\alpha) d\alpha$
• D
  $-\frac{2}{\pi} \int_{0}^{\frac{\pi}{2}} (\log(\sin \alpha) + \log(\cos \alpha)) d\alpha$