


IntegrationDefinitionThe process of finding a function, given its derivative, is called antidifferentiation (or integration). If F'(x) = f(x), we say F(x) is an antiderivative of f(x). ExamplesF(x) =cos x is an antiderivative of sin x, and e^{x} is an antiderivative of e^{x}. Note that if F(x) is an antiderivative of f(x) then F(x) + c, where c is a constant (called the constant of integration) is also an antiderivative of f(x), as the derivative of a constant function is 0. In fact they are the only antiderivatives of f(x). We write f(x) dx = F(x) + c. if F'(x) = f(x) . We call this the indefinite integral of f(x) . Thus in order to find the indefinite integral of a function, you need to be familiar with the techniques of differentiation. Integration Index  Basics >> 