$\int \frac{1+\tan ^{2} x}{(1+\tan x)^{2}} d x$ এর মান কোনটি?

$\frac{1}{1+\cot x}+c$

$\frac{1}{1-\tan x}+c$

$\frac{1}{1+\cos x}+c$

$\frac{1}{1-\cot x}+c$

$-\frac{1}{1+\tan x}+c$