Question

Evaluate the integral.

Answer 1

\[\int\limits1/(1+\sqrt[3]{x}) dx\]

Answer 2

Where are you stuck @adiaz3 ? finding an appropriate substitution?

I recommend to set
\[u=x ^\frac{ 1 }{ 3 }\]

Answer 3

http://integrals.wolfram.com/index.jsp?expr=1%2F%281%2Bx%5E.5%29&random=false to check work