Example 1. Find $\int(2 x-5)^{23} d x$.
Solution. From formula 2 of the table, taking into account $u=2 x-5$, it follows that

$$
\int(2 x-5)^{23} d x=\frac{1}{2} \cdot \frac{(2 x-5)^{24}}{24}+C=\frac{(2 x-5)^{24}}{48}+C
$$