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Arguably one the most important theorems in the history of mathematics, as it marries two unrelated topics: integral calculus (integration) with differential calculus (differentiation)— it relates an area under the graph to the antiderivative of a given function.
The Fundamental Theorem of Calculus is a shortcut to finding an area bounded by a curve directly and accurately, without summing the area of thin strips and taking limits—the beauty of this result is that we simply find any antiderivative of the function, without even using an area function.
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by MathPlus July 31, 2018
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