JEE Main 202313 Apr, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

\int_\limits{0}^{\infty} \frac{6}{e^{3 x}+6 e^{2 x}+11 e^{x}+6} d x=

• AOption A. $\log _{e}\left(\frac{256}{81}\right)$
• BOption B. $\log _{e}\left(\frac{64}{27}\right)$
• COption C. $\log _{e}\left(\frac{32}{27}\right)$
• DOption D. $\log _{e}\left(\frac{512}{81}\right)$

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