Level 3 Integration Walkthrough
2025 NCEA Level 3 Integration Question 3(e)
2025 Paper
Walkthrough overview
What this question practises
This 2025 walkthrough is part of AS91579 — Apply integration methods in solving problems.
Method: Using weighted-average integrals to find a balance point.
This is Question 3(e) 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 weighted-average integrals to find a balance point. Use the hints to plan the method, then repeat the question without hints and check each step.
Common mistake to avoid
Check each step against the original condition, preserve signs and restrictions, and confirm that the final result answers the question asked.