Support · Mathematics Advanced 11–12 – Year 12 · Integral calculus
Support Describe, in the case where f(x) ≥ 0 for all values of x in the interval a ≤ x ≤ b, the area bounded by the graph of the continuous function y = f(x), the x -axis and the lines x = a and x = b, as ∫abf(x)dx
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.
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Prerequisite dot points
Use the formula d/dx(xⁿ) = nx^(n - 1) for all real values of n
Mathematics Advanced 11–12 – Year 11 · Introduction to differentiation Draft mapping
No checked resources on this prerequisite dot point yet.
Establish using graphing applications that replacing x by - x in the equation of a graph corresponds to the reflection of the graph in the y -axis, and that replacing y by - y corresponds to a reflection in the x -axis
Mathematics Advanced 11–12 – Year 11 · Graph transformations Draft mapping
- Desmos Graphing CalculatorUse it for: Graph lines, parabolas and exponentials live; find intersections to solve simultaneous equations.
- Interactive toolEnrichmentGeoGebra ClassicUse it for: Dynamic geometry and graphing for constructions and proofs.