Solve this following

Question:

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

$\int \frac{d x}{\left(4 \sin ^{2} x+5 \cos ^{2} x\right)}=?$

A. $\frac{1}{2} \tan ^{-1}\left(\frac{\tan x}{\sqrt{5}}\right)+C$

B. $\frac{1}{\sqrt{5}} \tan ^{-1}\left(\frac{\tan x}{\sqrt{5}}\right)+C$

C. $\frac{1}{2 \sqrt{5}} \tan ^{-1}\left(\frac{2 \tan x}{\sqrt{5}}\right)+C$

D. none of these

Solution:

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