1.

\[\int_{{}}^{{}}{\frac{1}{\cos x(1+\cos x)}}\ dx=\]

A.                 \[\log (\sec x+\tan x)+2\tan \frac{x}{2}+c\]
B.                 \[\log (\sec x+\tan x)-2\tan \frac{x}{2}+c\]
C.                 \[\log (\sec x+\tan x)+\tan \frac{x}{2}+c\]           
D.                 \[\log (\sec x+\tan x)-\tan \frac{x}{2}+c\]
Answer» E.


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