1.

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

A.                 \[\frac{1}{\sqrt{2}}{{\tan }^{-1}}(\tan x)+c\]
B.                 \[\frac{1}{\sqrt{2}}{{\tan }^{-1}}\left( \frac{1}{2}\tan x \right)+c\]
C.                 \[\frac{1}{\sqrt{2}}{{\tan }^{-1}}\left( \frac{1}{\sqrt{2}}\tan x \right)+c\]
D.                 None of these
Answer» D.                 None of these


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