my math x2 teacher is basically the same (but probably not as bad as urs) and i get the feeling he assumes everyone already gets tutoring anyway..
and so my no.1 piece of advice is to get a textbook (or notes or something, anything!) so you can selflearn or consolidate the content (you can...
there's this integral where the answers do t-subs but I'm wondering whether multiplying both the numerator and denominator by sin(theta) - 1 as shown below (with many lines of working skipped) would work.
\int_{0}^{pi/2}{\frac{1}{sin\theta+1}}^{}{d\theta}
=...