Solve this following

Question:

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

$\int \frac{d x}{\left(4+16 x^{2}\right)}=?$

A. $\frac{1}{32} \tan ^{-1} 4 \mathrm{x}+\mathrm{C}$

B. $\frac{1}{16} \tan ^{-1} \frac{x}{2}+C$

C. $\frac{1}{8} \tan ^{-1} 2 \mathrm{x}+\mathrm{C}$

D. $\frac{1}{4} \tan ^{-1} \frac{\mathrm{x}}{2}+\mathrm{C}$

Solution:

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