A single integral is a fundamental concept in calculus that represents the area under a curve defined by a function over a specific interval. It is expressed mathematically as ∫ f(x) dx, where f(x) is the function being integrated, and dx indicates the variable of integration. The result of a single integral is a number that quantifies the total accumulation of the function's values across the interval. Single integrals are used in various applications, such as calculating distances, areas, and volumes. They are essential for understanding more complex topics in calculus, including definite integrals and indefinite integrals. Mastery of single integrals lays the groundwork for exploring multivariable calculus and other advanced mathematical concepts.