Level 3 Integration Walkthrough
2022 NCEA Level 3 Integration Question 1(a)
2022 Paper
Walkthrough overview
What this question practises
This 2022 walkthrough is part of AS91579 — Apply integration methods in solving problems.
Method: Splitting an integral into logarithm and trig parts.
This is Question 1(a) 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.
Calc.nz is an independent learning resource. Compare questions, diagrams, and assessment information with the official NZQA resources for AS91579.
Page updated .
Learning summary
Review the method, not only the answer
This walkthrough helps you practise splitting an integral into logarithm and trig parts. Use the hints to plan the method, then repeat the question without hints and check each step.
Common mistake to avoid
Keep logarithm domain restrictions and any inner-function factor visible throughout the working.
Continue practising
- All 2022 Integration walkthroughs
- All AS91579 Integration years
- Practise more questions using this skill: Integration techniques