Support · Mathematics Advanced 11–12 – Year 12 · Integral calculus

Support Apply ∫abf(x)dx = F(b) - F(a), where F(x) is a primitive of f(x), to calculate definite integrals and solve related theoretical problems involving functions within the scope of the Mathematics Advanced course

Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.

Prerequisite links are draft mappings generated from the syllabus structure (earlier stage, same strand, closest content). They are being reviewed by teachers. Spot a poor match? Tell us.

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Prerequisite dot points

Graph piecewise-defined functions involving functions covered in the scope of the Mathematics Advanced course, test if they are even or odd, and determine the domain and range

Mathematics Advanced 11–12 – Year 11 · Working with functions Draft mapping

No checked resources on this prerequisite dot point yet.

Apply reflections, translations and dilations to functions within the scope of the Mathematics Advanced course, excluding trigonometric functions, determine the function rule and the graph of the transformed function, the domain and range of the transformed graph, any intercepts, asymptotes and discontinuities where appropriate, and describe which transformations have been applied

Mathematics Advanced 11–12 – Year 11 · Graph transformations Draft mapping

No checked resources on this prerequisite dot point yet.