Year 12 · Mathematical Methods

Integral calculus

Choose a subtopic to practise.

Subtopics

Reverse differentiation and initial conditions.

Upper and lower rectangles and numerical approximations.

Fundamental theorem, signed area and integral properties.

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

Displacement, total distance and changing inflow and outflow rates.

Bounded regions, production costs and recovering model parameters.

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