1.

\[\int_{{}}^{{}}{{{e}^{2x}}\frac{1+\sin 2x}{1+\cos 2x}}\ dx=\]

A.                 \[{{e}^{2x}}\tan x+c\]
B.                 \[{{e}^{2x}}\cot x+c\]
C.                 \[\frac{{{e}^{2x}}\tan x}{2}+c\]
D.                 \[\frac{{{e}^{2x}}\cot x}{2}+c\]
Answer» D.                 \[\frac{{{e}^{2x}}\cot x}{2}+c\]


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