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The condition for being able to switch the order of integration and summation in a series.

The theorem used to compute the derivative of an integral as a function of its upper limit.

The term describes the set of all antiderivatives of a function.

The type of continuity required for a function to have an antiderivative on an interval.

A process to evaluate the definite integral of a piecewise continuous function.

The larger value in the definite integral notation, often interpreted as the end point in the interval of integration.

The property stating that if a function is integrable on a closed interval, then its definite integral over that interval is a number.

The principle that allows one to differentiate under the integral sign when the integrand involves a parameter.

A technique involving swapping the order of integration in double integrals.

The term for reversing differentiation, finding a function whose derivative is the given function.

The rule for integrating a sum of functions.

The concept that formalizes the intuitive notion of 'area under a curve' using a limit process.

The theorem connecting the concept of the derivative of a function to the concept of the integral.

The equation that represents the derivative of an antiderivative.