$$ \int \operatorname{Tan}^{-1}\left(x^{\frac{1}{3}}\right) d x= $$

• A

  $\frac{1}{2} \log \left(1+x^{\frac{2}{3}}\right)-\frac{1}{2} x^{\frac{2}{3}}+c$
• B

  $\text { 2. } x \operatorname{Tan}^{-1}\left(x^{\frac{1}{3}}\right)-\frac{1}{2} x^{\frac{2}{3}}+c$
• C

  $\frac{1}{2} \log \left(1+x^{\frac{1}{3}}\right)-\frac{1}{2} x^{\frac{2}{3}}+c$
• Correct answer
  D

  $x \operatorname{Tan}^{-1}\left(x^{\frac{1}{3}}\right)+\frac{1}{2} \log \left(1+x^{\frac{2}{3}}\right)-\frac{1}{2} x^{\frac{2}{3}}+c$

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