Single Variable Integration
Single variable integration is a fundamental concept in calculus that involves finding the integral of a function with respect to one variable. This process essentially calculates the area under the curve of the function on a specified interval. The result of integration can represent various physical quantities, such as distance, area, or volume, depending on the context of the problem.
The most common notation for single variable integration is the integral sign ∫, followed by the function and the variable of integration. For example, ∫f(x)dx represents the integral of the function f(x) with respect to the variable x. Techniques such as substitution and integration by parts are often used to solve more complex integrals.