Level 3 Integration Walkthrough
2021 NCEA Level 3 Integration Question 1(b)(ii)
2021 Integration
Walkthrough overview
What this question practises
This 2021 walkthrough is part of AS91579 — Apply integration methods in solving problems.
Method: Using the curve equation to find the area between \(x=1\) and \(x=2\).
This is Question 1(b)(ii) from the 2021 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.
Calc.nz is an independent learning resource. Compare questions, diagrams, and assessment information with the official NZQA resources for AS91579.
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Learning summary
Review the method, not only the answer
This walkthrough helps you practise using the curve equation to find the area between \(x=1\) and \(x=2\). 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.