I uploaded a pdf with homework exercises on integration by substitution to Files. I will also provide hard copies of this in class tomorrow, and we will go through some similar examples. This homework is due in one week, on Wed Oct 4. I will also assign a WebWork set on this topic.
You may find these videos helpful for learning integration by substitution:
“Integration using U-Substitution”: https://youtu.be/qclrs-1rpKI
Those 3 videos are from a YouTube math channel called PatrickJMT. You can find his playlist for integral calculus here. We will be covering most of those topics this semester, so you may want to revisit that playlist over the course of the semester.
If you prefer Khan Academy, see these videos in their calculus course. In particular, here is Khan Academy’s playlist on substitution, which starts with the following video: