key term - Area under the curve

Definition

The area under the curve refers to the total amount of space enclosed between a function and the x-axis on a given interval.

Related terms

Riemann Sum:

A method used to approximate the area under a curve by dividing it into smaller rectangles and summing their areas.

Definite Integral:

A mathematical operation that calculates the exact value of the area under a curve between two specific points.

Trapezoidal Rule:

An approximation technique for finding the area under a curve by dividing it into trapezoids and summing their areas.