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