01 / QUICK RECAP
Connect the ideas.
- Check every proposed antiderivative by differentiation.
- Identify the structure before choosing a technique.
- Keep substitution variables and limits consistent.
- Use absolute-value logarithms and check singularities.
- Split geometric regions where boundaries change order.
- For washers subtract squared radii; report cubic units.
02 / PRACTICE TESTS
Put it together.
Choose a paper and show your working.
Integration techniques and applications — practice test 1
Select methods and establish reliable exact working.
10 questions · 44 marks · 75 minutes · Scientific calculatorIntegration techniques and applications — practice test 2
Combine techniques and interpret geometric and practical results.
10 questions · 46 marks · 75 minutes · Scientific calculatorIntegration techniques and applications — practice test 3
Diagnose reasoning and connect integration to models.
10 questions · 44 marks · 75 minutes · Scientific calculatorIntegration techniques and applications — practice test 4
Mixed techniques with translated inverse functions, repeated parts, horizontal regions and accumulated rates.
10 questions · 54 marks · 75 minutes · Scientific calculatorIntegration techniques and applications — practice test 5
Reasoning and applications across exact integrals, numerical approximation, changing regions and motion.
10 questions · 58 marks · 75 minutes · Scientific calculatorIntegration techniques and applications — practice test 6
Challenging combined-method problems, parameter reasoning, singularities and geometric models.
10 questions · 64 marks · 75 minutes · Scientific calculator
Curriculum reference & lesson scope
SACE Board of South Australia
Stage 2 Specialist Mathematics integration techniques and applications, including inverse-trigonometric patterns, substitution, parts, simple partial fractions, areas and solids of revolution.
Official curriculum source ↗