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Ascent Arcade / Practice / Mathematical Methods / Year 12 / Applications of Integration
Year 12 · Mathematical Methods

Applications of Integration

Choose a subtopic, explore its examples and practise with feedback.

Choose a subtopic.

Explore applications of integration for Year 12. Each subtopic has sample questions and worked answers; choose the skill you want to practise.

01

Motion and accumulation

Displacement, total distance and changing inflow and outflow rates.

Examples, answers and practice
02

Areas and integral models

Bounded regions, production costs and recovering model parameters.

Examples, answers and practice
03

Topic Review

Four linked problems drawn from this topic’s subtopics. 12 parts · untimed · answers and worked solutions at the end.

Examples, answers and practice

Keep exploring.

Year 12 · Evaluating a definite integral →Year 11 · Differentiating powers and finding a tangent →
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Applications of Integration | Year 12 Methods | Ascent Arcade