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NSW Curriculum
NSW Education Standards Authority

11–12Mathematics Advanced 11–12 Syllabus

Record of changes
Implementation from 2026
Expand for detailed implementation advice

Content

Year 12

Integral calculus
Primitive functions
  • Recognise that a function whose derivative is everywhere zero is a constant function

  • Use algebraic manipulation to express given functions in forms suitable for determining primitive functions

The definite integral
The Fundamental Theorem of Calculus
Indefinite integrals
  • Recognise integration as the process of finding the indefinite integral of a function

Integration with exponential functions
  • Find primitives of functions involving exponential functions

Integration with logarithmic functions
Integration with trigonometric functions
Areas and the definite integral
  • Recognise and use symmetry, particularly odd and even functions, to simplify and solve integration problems

  • Use the Trapezoidal rule to approximate integrals

  • Use an online computational application to evaluate definite and indefinite integrals involving functions within and beyond the scope of the Mathematics Advanced course

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