Integral calculus

expression of a function as an infinite sum

thumb|The slope field of F(x) = \frac{x^3}{3} - \frac{x^2}{2} - x + C, showing three of the infinitely many solutions that can be produced by varying the arbitrary constant .

theorem that relates the integral of a product of functions to the integral of their derivative and antiderivative

integral over a multi-dimensional region of a function of several variables

limit of a definite integral with as one or both limits approach infinity or values at which the integrand is undefined

property of a curve

solid figure obtained by rotating a plane curve around a line that lies on the same plane

function that returns 1 if an element is present in a specified subset and 0 if absent; naturally isomorphic with a set's subsets

method of integration

a property of infinite series

numerical integration

primitive way of calculating area

mathematical term

special function defined by an integral

approximation technique in integral calculus

radius of a circle which best approximates a curve in a given point

calculus on stochastic processes

mathematical term in the context of differential equations

differentiation under the integral sign formula

test for infinite series of monotonous terms for convergence

constant expressing ambiguity when taking the indefinite integral of a function

method for evaluating integrals involving trigonometric functions

a property of infinite series

improper integral of sin(𝑥)∕𝑥 from 0 to ∞

construction in measure theory

technique to integrate rational functions involving trigonometric functions.

generalized notion of measure in mathematics

theorem

calculus of stochastic differential equations

algorithm used to compute integrals of functions, especially used in computer algebra systems

technique used to approximate integrals

function which is integrable on every compact subset of its domain of definition

argument of the hyperbolic functions

integration technique using recurrence relations

numbers expressible as integrals of algebraic functions

type of region of the Cartesian plane

integrals not expressible in closed-form from elementary functions

method for integrating rational functions

theorem that, the density of a Lebesgue measurable set in Euclidean space is exists and is 0 or 1 almost everywhere

infimum and supremum almost everywhere

theorem

mathematical techniques used in probability theory and related fields

method for integrating a function with respect to its volume in different coordinate system

measure or probability distribution whose support has zero Lebesgue (or other) measure

method for calculating the volume of a solid of revolution

the order in which multiple or iterated integrals are computed

Method of numerical integration

integral of a functional over a space of curves

function whose absolute value has finite integral

operator that involves integration