Level 3 Integration Walkthrough
2017 NCEA Level 3 Integration Question 1(a)
2017 Paper
Walkthrough overview
What this question practises
This 2017 walkthrough is part of AS91579 — Apply integration methods in solving problems.
Method: Reversing the derivative of a tangent function.
This is Question 1(a) 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.
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Learning summary
Review the method, not only the answer
This walkthrough helps you practise reversing the derivative of a tangent function. Use the hints to plan the method, then repeat the question without hints and check each step.
Common mistake to avoid
Use the derivative for the gradient and the original curve for the point before forming the tangent equation.