Calculus › Section I · Integration techniques and improper integrals › Topic I.1
Choosing a basic integration rule
You already know each integration rule on its own. The new skill is triage: an integral walks in, and you decide which rule — or which combination — it needs. This topic gathers the whole basic family into one place and practises diagnosis.
In this topic
- The diagnostic mindset
- The basic family
- The diagnostic checklist
- Worked example: algebra before rules
- Worked example: five diagnoses
- Signs and near-miss traps
- Applied: from velocity to position
- Common mistakes to avoid
- Key takeaways
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Standards: 6