Question

$\int (x+4)^5 dx$

Answer 1

$\displaystyle \frac{(x+4)^6}{6} + C$

Answer 2

Let $u = x + 4$ so that $du = dx$. The integral becomes:

$$\int (x+4)^5 \, dx = \int u^5 \, du = \frac{u^6}{6} + C = \frac{(x+4)^6}{6} + C.$$