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The Second Fundamental Theorem of Calculus is used to show the relationship that differentiation and integration operations in Mathematics are inverse of each other. The fundamental theorem of calculus has a rich history. However, the most important names associated with the theorem are Isaac Newton and Gottfried Leibniz. The notations used today are given by Gottfried Leibniz. We will discuss about the Second Fundamental Theorem of Calculus proof and Second Fundamental Theorem Of Calculus examples for better understanding and clarity of the topic.
History of Gottfried Leibniz
Gottfried Leibnitz
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Name: Gottfried Leibniz
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Born: 1 July 1646
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Died: 14 November 1716
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Field: Mathematics
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Nationality: German
Statement of Second Fundamental Theorem of Calculus
According to the Second Fundamental Theorem of Calculus, the differentiation of an antiderivative function results in original functions.
Mathematically, consider a function $f(x)$ defined over limits
$dfrac{d}{d x}left[int_{a}^{x} f
Proof of the Second Fundamental Theorem
The proof includes three steps.
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Integrate the given function $f
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