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\[\int_{{}}^{{}}{{{e}^{-x}}\text{cose}{{\text{c}}^{2}}(2{{e}^{-x}}+5)}\ dx=\]        [AISSE 1988]

A.            \[\frac{1}{2}\cot (2{{e}^{-x}}+5)+c\]
B.            \[-\frac{1}{2}\cot (2{{e}^{-x}}+5)+c\]
C.            \[2\cot (2{{e}^{-x}}+5)+c\]
D.            \[-2\cot (2{{e}^{-x}}+5)+c\]
Answer» B.            \[-\frac{1}{2}\cot (2{{e}^{-x}}+5)+c\]


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