The linearity of integration refers to the property that allows for the integral of a sum of functions to be expressed as the sum of their individual integrals, and that a constant can be factored out of an integral. This principle is fundamental in calculus, as it simplifies the process of finding antiderivatives and evaluating definite integrals. Understanding this concept enables students to tackle more complex integrals and recognize patterns in integration techniques, especially when applying basic integration rules or working with trigonometric integrals.
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