Area Between Two Curves

Definition

The area between two curves refers to the region enclosed by two curves on a coordinate plane. It is calculated by finding the difference between their respective integrals over a given interval.

Related terms

Riemann Sums: These are approximations of areas under curves using rectangles. By dividing an interval into smaller subintervals, calculating areas for each rectangle, and summing them up, we can estimate areas accurately.

Integration Techniques:

This refers to various methods used to find antiderivatives or definite integrals. Some common techniques include substitution, integration by parts, and trigonometric substitutions.

Area of Revolution: This is the concept of finding the volume or surface area generated when a curve is rotated around an axis. It involves using integrals to calculate these quantities.