Questionig integral. $$\int x^{5} \sqrt{x^{3}+1} d x$$

Studdy Solution
Substitute back to the original variable $x$:
$$= \frac{2}{15} (x^3 + 1)^{5/2} - \frac{2}{9} (x^3 + 1)^{3/2} + C$$
The solution to the integral is:
$$\boxed{\frac{2}{15} (x^3 + 1)^{5/2} - \frac{2}{9} (x^3 + 1)^{3/2} + C}$$