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Sections

Integrals

Pick a section. You read the idea first, then answer questions on it.

1. Undoing the derivative1 ideaRead

2. Antiderivatives come in families1 ideaRead

3. The standard integrals table1 ideaRead

4. Substitution — running the chain rule backwards2 ideasRead

5. A toolkit of special-form integrals2 ideasRead

6. Integration by parts and the ILATE heuristic2 ideasRead

7. A shortcut hiding inside a product3 ideasRead

8. Partial fractions before integrating2 ideasRead

9. The definite integral as a limit of sums1 ideaRead

10. The Fundamental Theorem of Calculus4 ideasRead

11. Definite integrals by substitution — limits change too2 ideasRead

12. Properties of definite integrals1 ideaRead

13. Every method is the same question, asked differently1 ideaRead

14. Practice set11 ideasRead