A \( \ \ln(1+\mathrm{e}^{-\mathrm{x}}) \)
B \( \ \ln(1+\mathrm{e}^{\mathrm{x}}) \)
C \( \ \ln(1-\mathrm{e}^{-\mathrm{x}}) \)
D \( \ \ln(\mathrm{e}^{\mathrm{x}}-1) \)
Correct Answer: Option B
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