Two exponential integrals I and J: find I - J or J - I

1. A.
   $\frac{1}{2}\log\frac{e^{4x}-e^{2x}+1}{e^{4x}+e^{2x}+1}+c$
2. B.
   $\frac{1}{2}\log\frac{e^{2x}+e^x+1}{e^{2x}-e^x+1}+c$
3. C.
   $\frac{1}{2}\log\frac{e^{2x}-e^x+1}{e^{2x}+e^x+1}+c$
4. D.
   $\frac{1}{2}\log\frac{e^{4x}+e^{2x}+1}{e^{4x}-e^{2x}+1}+c$

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

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