Integral of cosec x / cos^2(1 + log tan(x/2))

1. A.
   $\tan\!\left(1+\log\tan\frac{x}{2}\right)+c$
2. B.
   $\frac{1}{2}\tan\!\left(1+\log\tan\frac{x}{2}\right)+c$
3. C.
   $2\tan\!\left(1+\log\tan\frac{x}{2}\right)+c$
4. D.
   $\frac{1}{4}\tan\!\left(1+\log\tan\frac{x}{2}\right)+c$

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1. A.
   $\tan\left(1+\log\tan\frac{x}{2}\right)+c$
2. B.
   $\tan(1+\log(\tan x))+c$
3. C.
   $\tan\left(\log\tan\frac{x}{2}\right)+c$
4. D.
   $\tan\left(\tan\frac{x}{2}\right)+c$

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1. A.
   $\tan[1 + \log(\tan\frac{x}{2})] + c$
2. B.
   $\dfrac{1}{2}\tan[1 + \log(\tan\frac{x}{2})] + c$
3. C.
   $2\tan[1 + \log(\tan\frac{x}{2})] + c$
4. D.
   $\dfrac{1}{4}\tan[1 + \log(\tan\frac{x}{2})] + c$

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