Key Terms
The average value of a continuous function f(x) on an interval [a, b] is given by (1/(b-a)) * ∫[a to b] f(x) dx, representing the height of a rectangle with the same _______ as the region under the curve.
This theorem guarantees that if a function is continuous, it will actually _______ its average value at least once within the interval.
The exact area of a region trapped between two functions, calculated by summing infinitely thin vertical or horizontal _______.
The 'a' and 'b' (or 'c' and 'd') values in a definite integral, which often represent the _______ points of the functions bounding the region.
A technique for finding the volume of a solid of revolution when the 2D region is _______ up against the axis of revolution, creating a solid disk when spun.