QuestionMake the given substitution to evaluate the indefinite integral. $$\begin{array}{l} \int 7(7 x+14)^{4} d x, u=7 x+14 \\ \int 7(7 x+14)^{4} d x=\square \end{array}$$

Studdy Solution
Substitute back $u = 7x + 14$ to express the result in terms of $x$:
$$\frac{(7x + 14)^5}{5} + C$$
Thus, the evaluated indefinite integral is:
$$\boxed{\frac{(7x + 14)^5}{5} + C}$$