By doing thousands of problems, students learn to recognize the best technique for a given integration or limit problem instantly.

: Mastering the techniques of finding derivatives and differentials.

Do not try to learn calculus for the first time using Demidovich. Use a conceptual textbook (like Stewart, Thomas, or Spivak) or a lecture series to learn the theory first. Use Demidovich to test and solidify your knowledge.

Do not attempt every single problem sequentially. If a section has 60 problems on integration by parts, solve every third or fifth problem. If you stumble, drop back to solve the intervening ones.