AS 91579 · 6 credits · External
Integration
Apply integration methods in solving problems
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In plain EnglishAI study guide · check the NZQA standard
This standard asks you to solve real-world and mathematical problems using integration—the opposite of differentiation. You'll need to choose the right integration technique (like substitution, by parts, or partial fractions), set up and solve problems correctly, and interpret your answers in context.
What to do, grades and common mistakes
What you actually do
- ·Choose and apply appropriate integration techniques (substitution, integration by parts, partial fractions) to solve problems
- ·Set up integration problems correctly from written descriptions or contexts, identifying limits and what needs to be integrated
- ·Show all working steps clearly and logically so that the method is visible to the marker, not just a final answer
- ·Check your answers make sense in the problem context and meet any specific requirements stated in the question
- ·Work through all parts of multi-step problems systematically, even if one part feels challenging
AAchieved
You correctly apply one or more integration techniques to solve problems and show clear working that demonstrates your understanding of the method.
MMerit
You solve more complex problems requiring multiple steps or techniques, check the validity of your answers, and communicate your strategy clearly throughout.
