Home / Chapter 7
Chapter 7 · Grade 12 Advanced
Integration Techniques and First-Order Differential Equations
A toolbox for harder integrals — by parts, trig substitution, partial fractions — followed by an introduction to differential equations and how they model change.
Lessons
Lesson 1 · G12 7.1
Review of Formulas and Techniques
Consolidating earlier methods.
Open lesson → Lesson 2 · G12 7.2Integration by Parts
Reversing the product rule.
Open lesson → Lesson 3 · G12 7.3Trigonometric Techniques of Integration
Trig identities and trig substitution.
Open lesson → Lesson 4 · G12 7.4Integration of Rational Functions
Decomposing rational functions with partial fractions.
Open lesson → Lesson 5 · G12 7.5Integration Tables and Computer Algebra Systems
Using references and CAS tools.
Open lesson → Lesson 6 · G12 7.6Modelling with Differential Equations
Translating real situations into DEs.
Open lesson → Lesson 7 · G12 7.7Separable Differential Equations
Solving dy/dx = f(x)g(y).
Open lesson →