Se entiende por métodos de integración cualquiera de las diferentes técnicas elementales usadas para calcular una antiderivada o integral indefinida de una función. Así, dada una función f(x), los métodos de integración son técnicas cuyo uso (usualmente combinado) permite encontrar una función F(x) tal que , lo cual, por el teorema fundamental del cálculo equivale a hallar una función F(x) tal que f(x) es su derivada: .

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In calculus, and more generally in mathematical analysis, integration by parts or partial integration is a theorem that relates the integral of a product of functions to the integral of their derivative and antiderivative. It is frequently used to transform the antiderivative of a product of functions into an antiderivative for which a solution can be more easily found. The rule can be derived in one line simply by integrating the product rule of differentiation. If u = u(x) and du = u′(x) dx, while v = v(x) and dv = v′(x) dx, then integration by parts states that: or more compactly: More general formulations of integration by parts exist for the Riemann–Stieltjes and Lebesgue–Stieltjes integrals. The discrete analogue for sequences is called summation by parts.

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