Integrating Sin(x^3) - Homework Equations & Solution

[Hybrid_Theory]

Homework Statement

I need to intergrate sin(x^3) for a sum and I don't know how to.

Homework Equations

The sum is (integrate)3x+Sin(x^3)+1

The Attempt at a Solution

I've tried substituting u for x^3 but I don't know where to go from there considering du=3x^2.dx, which isn't relevant to my equation in any way.

 

[HallsofIvy]

You are not going to find any elementary function anti-derivative for this.

 

[Hybrid_Theory]

That's what I figured. So what do I do with it?