Average value of a function

Straight-line motion

Non-motion applications of integrals

Area: vertical area between curves

Area: horizontal area between curves

Volume: squares and rectangles cross sections

Area: curves that intersect at more than two points

Volume: triangles and semicircles cross sections

Volume: disc method (revolving around x- and y-axes)

Volume: disc method (revolving around other axes)

Volume: washer method (revolving around x- and y-axes)

Volume: washer method (revolving around other axes)

Arc length