Level 3 Integration Walkthrough
2025 NCEA Level 3 Integration Question 3(c)
2025 Paper
Walkthrough overview
What this question practises
This 2025 walkthrough is part of AS91579 — Apply integration methods in solving problems.
Method: Solving a separable differential equation with a radical.
This is Question 3(c) 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 solving a separable differential equation with a radical. Use the hints to plan the method, then repeat the question without hints and check each step.
Common mistake to avoid
State or check the real-domain restriction and test for extraneous solutions after squaring.
Continue practising
- All 2025 Integration walkthroughs
- All AS91579 Integration years
- Practise more questions using this skill: Differential equations