Integrals and accumulation.

An integral adds small contributions into a total.

Learning outcome: Integrate basic functions and distinguish displacement, distance and area.

Integrate basic functions and distinguish displacement, distance and area. Diagram is schematic and not to scale.

Core ideas

Build the model

antiderivatives and constants.

definite integrals and bounds.

conservation and accumulated quantities.

Engineering bridge

Where it is used

calculus: change and accumulation
heat and mass transfer

Original Lilerno structure and wording. Visuals are conceptual, inputs are not a design specification, and practical work requires appropriate supervision.