Solve this following

Question:

Mark $(\sqrt{ })$ against the correct answer in each of the following:

$\int \frac{d x}{\left(\sin ^{2} x-4 \cos ^{2} x\right)}=?$

A. $\frac{1}{4} \log \left|\frac{\tan x-2}{\tan x+2}\right|+C$

B. $\frac{1}{4} \log \left|\frac{\tan x+2}{\tan x-2}\right|+C$

C. $\frac{1}{4} \log \left|\frac{1-\tan x}{1+\tan x}\right|+C$

D. none of these

Solution:

 

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