In calculus, an antiderivative, inverse derivative, primitive function, primitive integral or indefinite integral of a continuous function f is a differentiable...

any antiderivative F between the ends of the interval. This greatly simplifies the calculation of a definite integral provided an antiderivative can be...

{\displaystyle C} (or c {\displaystyle c} ), is a constant term added to an antiderivative of a function f ( x ) {\displaystyle f(x)} to indicate that the indefinite...

In complex analysis, a branch of mathematics, the antiderivative, or primitive, of a complex-valued function g is a function whose complex derivative is...

areas below are negative. Integrals also refer to the concept of an antiderivative, a function whose derivative is the given function; in this case, they...

functions can be computed by means of a formula that expresses the antiderivatives of the inverse f − 1 {\displaystyle f^{-1}} of a continuous and invertible...

integrals are often useful. This page lists some of the most common antiderivatives. A compilation of a list of integrals (Integraltafeln) and techniques...

In mathematics, a nonelementary antiderivative of a given elementary function is an antiderivative (or indefinite integral) that is, itself, not an elementary...

used for antiderivatives in the same way that Lagrange's notation is as follows D − 1 f ( x ) {\displaystyle D^{-1}f(x)} for a first antiderivative, D − 2...

places an important restriction on antiderivatives that can be expressed as elementary functions. The antiderivatives of certain elementary functions cannot...