Antiderivative - Antiderivatives of non-continuous functions

In calculus, an antiderivative or primitive function of a given real valued function f is a function F whose derivative is equal to f, i.e., F′ = f. The process of solving for antiderivatives is antidifferentiation (or indefinite integration). Finding an expression for an antiderivative is harder than calculating a derivative, and may not always be possible. Antiderivatives are related to integrals through the fundamental theorem of calculus, and provide a convenient means for ...

Including:

• Antiderivative - Example
• Antiderivative - Uses and properties
• Antiderivative - Techniques of integration
• Antiderivative - Antiderivatives of non-continuous functions
• Antiderivative - Some examples

Read more here: » Antiderivative: Encyclopedia - Antiderivative

Antiderivatives are important because they can be used to compute integrals, using the fundamental theorem of calculus: if F is an antiderivative of the integrable function f, then: Because of this, the set of all antiderivatives of a given function f is sometimes called the general integral or indefinite integral of f and is written using th ...

See also:

Antiderivative, Antiderivative - Example, Antiderivative - Uses and properties, Antiderivative - Techniques of integration, Antiderivative - Antiderivatives of non-continuous functions, Antiderivative - Some examples

Read more here: » Antiderivative: Encyclopedia II - Antiderivative - Uses and properties