Level 3 Integration Walkthrough
2022 NCEA Level 3 Integration Question 3(d)
2022 Paper
Walkthrough overview
What this question practises
This 2022 walkthrough is part of AS91579 — Apply integration methods in solving problems.
Method: Identifying top-minus-bottom for an area between a curve and a line.
This is Question 3(d) from the 2022 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 identifying top-minus-bottom for an area between a curve and a line. Use the hints to plan the method, then repeat the question without hints and check each step.
Common mistake to avoid
Check intersections, signs, and whether the question asks for signed area or total geometric area.