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A variable of integration is the variable with respect to which an integral is computed. It is typically represented as 'dx' in the integral notation.
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Integrand: The function that is being integrated in an integral.
Definite Integral: $\int_{a}^{b} f(x) \, dx$ represents the area under $f(x)$ from $x=a$ to $x=b$.
Indefinite Integral: $\int f(x) \, dx$ represents a family of functions differing by a constant.