1.

\[\int{\frac{1+{{\tan }^{2}}x}{1-{{\tan }^{2}}x}\,dx}\] equals to   [RPET 2001]

A.            \[\log \left( \frac{1-\tan x}{1+\tan x} \right)+c\]
B.            \[\log \left( \frac{1+\tan x}{1-\tan x} \right)+c\]
C.            \[\frac{1}{2}\log \left( \frac{1-\tan x}{1+\tan x} \right)+c\]
D.   \[\frac{1}{2}\log \left( \frac{1+\tan x}{1-\tan x} \right)+c\]
Answer» E.


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