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\( \int \frac{x+\sqrt[3]{x^{2}}+\sqrt[6]{x}}{x(1+\sqrt[3]{x})} d x \) is equal to:
\( \mathrm{P}^{11} \)
WV
(1) \( \frac{3}{2} x^{\frac{2}{3}}+6 \tan ^{-1} x^{\frac{1}{6}}+c \)
(2) \( \frac{3}{2} x^{2 / 3}-6 \tan ^{-1} x^{1 / 6}+c \)
(3) \( -\frac{3}{2} x^{\frac{2}{3}}+6 \tan ^{-1} x^{\frac{1}{6}}+c \)
(4) \( -\frac{3}{2} x^{2 / 3}-6 \tan ^{-1} x^{1 / 6}+c \)
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