# indefinite integral $\int\sin\sqrt[3]{x}~dx$

I want to determinate the integral $\int\sin\sqrt[3]{x}~dx$ .

I tried to use integration by partitions and integration by substitution but I came to no result. I know the result which is shown here http://www.wolframalpha.com/input/?i=sin%28root%28x%2C3%29%29+dx

but I want to know the steps and how to come there!

Let $x = u^3$, and then integrate by parts to get rid of the polynomial.