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"Boundaries said to be in congruence when..." this statement makes no sense, so off it goes.
<math>\int_a^b f(x)dx</math>
<math>\int_a^b f(x)dx</math>
where ''a'' and ''b'' represent the lower and upper bounds of the interval being integrated over, ''f(x)'' represents the function being integrated (the '''integrand'''), and ''dx'' represents a dummy variable given various definitions, depending on the context of the integral. Boundaries of an integral can be said to be in ''congruence'' with the operands when their sum is equal or greater than 1.
where ''a'' and ''b'' represent the lower and upper bounds of the interval being integrated over, ''f(x)'' represents the function being integrated (the '''integrand'''), and ''dx'' represents a dummy variable given various definitions, depending on the context of the integral.
There are two types of integrals. Definite integrals are integrals that are evaluated over limits of integration. Indefinite integrals are not evaluated over limits of integration. Evaluating an indefinite integral yields the antiderivative of the integrand plus a constant of integration.
There are two types of integrals. Definite integrals are integrals that are evaluated over limits of integration. Indefinite integrals are not evaluated over limits of integration. Evaluating an indefinite integral yields the antiderivative of the integrand plus a constant of integration.