Help I can’t do integration and I’m trying to study for my final 💀

[keen juniper]

Soooo my teacher just handed this integration assignment as a review tool and I actually have no idea where to start and or how to study. It’s a study tool however I’m only familiar with anti derivative integration, and this graph is completely confusing me. Anyone know how to do this?

[empty thicket]

Let's go through it step by step