JEE Main 202331 Jan, Morning shiftMathematicsHardIntegral Calculus369× since 2002The 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 :AOption A. 103−3+loge3\frac{10}{3}-\sqrt{3}+\log _{e} \sqrt{3}310−3+loge3BOption B. 72−3−loge3\frac{7}{2}-\sqrt{3}-\log _{e} \sqrt{3}27−3−loge3COption C. 103−3−loge3\frac{10}{3}-\sqrt{3}-\log _{e} \sqrt{3}310−3−loge3DOption D. −2+33+loge3-2+3\sqrt{3}+\log _{e} \sqrt{3}−2+33+loge3CheckSkip · show solution
