Level 3 Integration Walkthrough

2017 NCEA Level 3 Integration Question 3(e)

2017 Paper

← Back to paper

Walkthrough overview

What this question practises

This 2017 walkthrough is part of AS91579 — Apply integration methods in solving problems.

Method: Substitution in a parameterised differential equation.

This is Question 3(e) from the 2017 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 substitution in a parameterised differential equation. 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.

Continue practising

← Question 3(d)