Integrate $\int \sqrt{a + x^3}dx$ How does one go about integrating: 

$$\int\sqrt{a + x^3}dx$$

Wolframalpha seems to be giving a result that seems slightly too elaborate.
why not use u-substitution?  u = a+x^3 then du=3x^2 dx.  Should be a good start.
why not use u-substitution?  u = a+x^3 then du=3x^2 dx.  Should be a good start.