Level 3 Integration Walkthrough

2024 NCEA Level 3 Integration Question 2(e)

2024 Paper

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Walkthrough overview

What this question practises

This 2024 walkthrough is part of AS91579 — Apply integration methods in solving problems.

Method: Logarithmic substitution in a spherical mass model.

This is Question 2(e) from the 2024 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 logarithmic substitution in a spherical mass model. 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

← Question 2(d) Question 3(a) →