Web Reference: Learn how derivatives and integrals are related to each other and to real-world phenomena such as speed, volume, and energy. Explore examples and interactive applets to see how they work. Let us review some fundamental facts about both the derivative and the integral, then compare the implications of these facts side-by-side to compare the two operations. When we integrate the derivative of a function, we get the original function. Also, the integral of a function is called its antiderivative. The fundamental theorem of calculus gives the relationship between differentiation and integration, and shows how they are inverse processes of each other.
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