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Mathematics Advanced 11–12 – Year 12 · Integral calculus · The Fundamental Theorem of Calculus · Topic: Calculus · Year 12

Consider the function defined by A(x) = ∫axf(t)dt and use a graphing application to recognise that A(x) is a primitive of f(x)

Dot point ID advanced-year-12-integral-calculus/dp-9c0635d4 · See it on the NSW Curriculum website ↗

↩SupportBuild the prerequisite skills first · 2 resources ★EnrichExtension & rich tasks · 0 resources

Outcomes for this focus area (MAV-12-05)

MAV-12-05 solves problems involving indefinite and definite integrals

Core resources for this dot point

On-level resources, grouped by type. Need the building blocks? Use Support. Ready for more? Use Enrich.

Interactive tool

Interactive toolStarter Enrichment
Desmos Graphing Calculator
Desmos · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
Use it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
Also tagged to: Examine the gradient of the tangent to the curve y = a^x at …; Use graphing applications to identify the graphs of y = a^x …; Examine the gradient function of y = a^x with graphing appli…; Establish using graphing applications that replacing x by - … and 82 more
Interactive toolEnrichment
GeoGebra Classic
GeoGebra · Interactive (browser) · Free · Link checked 2026-10-15 · No prep
Use it for: Dynamic geometry and graphing for constructions and proofs.
Also tagged to: Examine the gradient of the tangent to the curve y = a^x at …; Use graphing applications to identify the graphs of y = a^x …; Examine the gradient function of y = a^x with graphing appli…; Establish using graphing applications that replacing x by - … and 84 more