Level 3 Integration Walkthrough
2025 NCEA Level 3 Integration Question 1(d)
2025 Paper
Walkthrough overview
What this question practises
This 2025 walkthrough is part of AS91579 — Apply integration methods in solving problems.
Method: Using product-to-sum before integrating a shaded trig area.
This is Question 1(d) from the 2025 NCEA Level 3 Integration paper for AS91579 — Apply integration methods in solving problems. Use the guided hints to practise the method before revealing the full working.
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Learning summary
Review the method, not only the answer
This walkthrough helps you practise using product-to-sum before integrating a shaded trig area. Use the hints to plan the method, then repeat the question without hints and check each step.
Common mistake to avoid
Check the antiderivative by differentiating it, and handle constants and bounds explicitly.
Continue practising
- All 2025 Integration walkthroughs
- All AS91579 Integration years
- Practise more questions using this skill: Integration techniques