# How do you integrate int root4(x^3)+1dx?

$\frac{3}{7} {x}^{\frac{7}{3}} + x + C$
This is $\int \left({\left({x}^{3}\right)}^{\frac{1}{4}} + 1\right) \mathrm{dx}$
$= {x}^{\frac{7}{3}} / \left(\frac{7}{3}\right) + x + C$
$= \frac{3}{7} {x}^{\frac{7}{3}} + x + C$