For the Problems Below, Integrate $\int\left(x^{3}+2 x^{2}\right)^{8}\left(3 x^{2}+4 x\right) d x$

For the problems below, integrate.
- $\int\left(x^{3}+2 x^{2}\right)^{8}\left(3 x^{2}+4 x\right) d x$