Integral of sin x / sin 4x

1. A.
   $\dfrac{1}{4\sqrt{2}}\log\left|\dfrac{1 + \sqrt{2}\sin x}{1 - \sqrt{2}\sin x}\right| + \dfrac{1}{4}\log|\sec x + \tan x| + c$
2. B.
   $\dfrac{1}{4\sqrt{2}}\log\left|\dfrac{1 + \sqrt{2}\sin x}{1 - \sqrt{2}\sin x}\right| - \dfrac{1}{4}\log|\sec x + \tan x| + c$
3. C.
   $\dfrac{1}{4\sqrt{2}}\log\left|\dfrac{1 - \sqrt{2}\sin x}{1 + \sqrt{2}\sin x}\right| + \dfrac{1}{4}\log|\sec x + \tan x| + c$
4. D.
   $\dfrac{1}{4\sqrt{2}}\log\left|\dfrac{1 - \sqrt{2}\sin x}{1 + \sqrt{2}\sin x}\right| - \dfrac{1}{4}\log|\sec x + \tan x| + c$

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1. A.
   $5$
2. B.
   $-1$
3. C.
   $9$
4. D.
   $-3$

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