$\int(\log 2 \mathrm{x})^3 \mathrm{dx}=$

• Correct answer
  A

  $x\left[(\log 2 x)^3-3(\log 2 x)^2+6(\log 2 x)-6\right]+c$
• B

  $\frac{x}{4}\left[4(\log 2 x)^3-6(\log 2 x)^2+6(\log 2 x)-3\right]+c$
• C

  $\frac{x}{2}\left[(\log 2 x)^3-3(\log 2 x)^2+3(\log 2 x)-6\right]+c$
• D

  $x\left[(\log 2 x)^3-6(\log 2 x)^2+18(\log 2 x)-54\right]+c$

Hence, the correct answer is option: 'A'.