\[\int_{0}^{1}{\frac{{{e}^{x}}(x-1)}{{{(x+1)}^{3}}}\,dx=}\] [SCRA 1986]

• A. \[\frac{e}{4}\]
• B. \[\frac{e}{4}-1\]
• C. \[\frac{e}{4}+1\]
• D. None of these