Calculus › Section I · Integration techniques and improper integrals › Topic I.7

Integration tables and strategy

Professionals do not memorise every antiderivative — they look standard forms up, and they choose techniques by a ladder, not by luck. This topic teaches both skills.

In this topic

  • Tables: a professional's shortcut
  • Reading a table entry
  • Worked example: reshaping to fit
  • Reduction formulas
  • Worked example: descending the staircase
  • The strategy ladder
  • Strategy in action
  • Common mistakes to avoid
  • Key takeaways

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Standards: Beyond AP

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