A \( \frac{1}{2} \left ( 3 e^{2} - 7 \right ) \)
B \( \frac{1}{4 e} \left ( 5 e^{2} - 7 e + 11 \right ) \)
C \( \frac{1}{e} \left ( 3e^{2} - 6 e -1\right ) \)
D \( \left ( e^{2} - 7 e + 1 \right ) \)
Correct Answer: Option C
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