I will make this post quick, and if anyone can weigh in with their thoughts it will be appreciated. Right now I am taking classical mechanics at my university, and I have noticed a trend of very difficult integrals on our problem sets. Our most recent one required 4-5 substitutions to yield the correct answer. By the way some of these substitutions were completely unintuitive, and I feel that I would have never been able to have derived them. I never bothered worrying much about learning integration tricks since I figured wolframalpha/mathematica were sufficient at solving all the integrals I would ever see..but its becoming obvious that this just might not be the case. I'm wondering what the best way to go about learning some integration tricks would be, and if it is really worth it in the long run Note * I don't think my teacher will be including crazy math problems on our exams so I will only bother learning these integrals if it is worth it for my scientific pursuits* Thank you.