Te reo Māori terms
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Learning objective overview
Master Teaching Guide coverage for this objective.
Current NZC (2007)
- No direct alignment recorded
New NZC (2026)
NZC26-P4-ALG-ER-K-Y9-04
Resources
- Kuta Software - Integration: Log Rule and ExponentialsQuestions PDF · Answers
Terminology
- Term-by-term division
- Natural logarithm
- Rational expression
- Numerator and denominator
- Constant of integration
Task goals
- Foundation: Split a simple expression like (x+3)/x into 1 + 3/x and integrate termwise to get x + 3\ln|x| + c.
- Proficient: Integrate expressions with larger numerators and non-unit coefficients, such as (2x^2+5x-4)/x, requiring division into multiple terms with mixed powers before integrating.
- Excellence: Integrate more complex rational expressions requiring careful algebraic rearrangement (including negative or fractional terms) and evaluate as a definite integral, interpreting the result in context.
Where this fits
What leads into this objective, and where it goes next.
Before
Gradient
You are here
Integrating Expressions of the Form (ax+b)/x
Next
No further statements exist yet for the next step on this topic in the data.
For teachers
Need the fuller teaching notes for this objective? Open the Teacher guidance PDF.