Level 2 Calculus Walkthrough

2025 NCEA Level 2 Calculus Question 2(b)

2025 Paper — Find the original function from \(f'(x)\)

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Walkthrough overview

What this question practises

This 2025 walkthrough is part of AS91262 — Apply calculus methods in solving problems.

Method: Antidifferentiating and using a point on the graph to find the constant.

This is Question 2(b) from the 2025 NCEA Level 2 Calculus paper for AS91262 — Apply calculus 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 AS91262.

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Learning summary

Review the method, not only the answer

This walkthrough helps you practise antidifferentiating and using a point on the graph to find the constant. Use the hints to plan the method, then repeat the question without hints and check each step.

Common mistake to avoid

Include the constant of integration, then use any given point or initial condition to determine it.

Continue practising

← Question 2(a) Question 2(c) →