$\int \frac{\mathrm{d} x}{3 \cos 2 x+5}$ equals
- A$\frac{1}{2} \tan ^{-1}(\tan x)+\mathrm{c}$, where c is the constant of integration.
- B$\frac{1}{2} \tan ^{-1}\left(\frac{\tan x}{2}\right)+\mathrm{c}$, where c is the constant of integration.
- C$\frac{1}{4} \tan ^{-1}\left(\frac{1}{2} \tan x\right)+\mathrm{c}$, where c is the constant of integration.
- D$\frac{1}{4} \tan ^{-1}(\tan x)+\mathrm{c}$, where c is the constant of integration.
✓ Correct answer: C
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