108. 

$$
\int \frac{d x}{\sin ^{2}\left(\frac{1}{5} x-4\right)}
$$
Solution. Since $d\left(\frac{1}{5} x-4\right)=\frac{1}{5} d x$, then $d x=5 d\left(\frac{1}{5} x-4\right)$. Therefore

![](https://cdn.mathpix.com/cropped/2024_05_22_db4d450c77c65a914ec1g-293.jpg?height=207&width=886&top_left_y=1659&top_left_x=164)