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JEE Math Practice Question

The value of $$\int\limits_{\frac{\pi}{3}}^{\frac{\pi}{2}} \frac{(2+3 \sin x)}{\sin x(1+\cos x)} d x$$ is equal to :

  1. A.$$\frac{10}{3}-\sqrt{3}+\log _{e} \sqrt{3}$$
  2. B.$$\frac{7}{2}-\sqrt{3}-\log _{e} \sqrt{3}$$
  3. C.$$\frac{10}{3}-\sqrt{3}-\log _{e} \sqrt{3}$$
  4. D.$$-2+3\sqrt{3}+\log _{e} \sqrt{3}$$

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