indefinite-integration

Question: $\int_{{}}^{{}}{\frac{1}{1+{{\cos }^{2}}x}dx}=$



1) $\frac{1}{\sqrt{2}}{{\tan }^{-1}}(\tan x)+c$
2) $\frac{1}{\sqrt{2}}{{\tan }^{-1}}\left( \frac{1}{2}\tan x \right)+c$
3) $\frac{1}{\sqrt{2}}{{\tan }^{-1}}\left( \frac{1}{\sqrt{2}}\tan x \right)+c$
4) None of these
Solution: Explanation: No Explanation
Integration of rational functions by using partial fractions Evaluation of various forms of integration

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