$$\int \sin(1+|x|+|x^2|+|x^3|)\,dx$$
How to integrate the above expression? I am trying to integrate by factoring $(1+|x|+|x^2|+|x^3|$), so after factoring I am getting $\frac{(|x^4|-1)}{(|x|-1)}$. So finally I am getting this expression to be $\sin(\frac{(|x^4|-1)}{(|x|-1)})$. But how to approach further? Kindly help me out with this question.