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Translations for „fundamental theorem of calculus“ in the English » German Dictionary (Go to German » English)

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fundamental theorem of calculus: noun
fundamental theorem of calculus: noun

fundamental theorem of calculus N

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fundamental theorem of calculus MATH

Hauptsatz der Differential- und Integralrechnung m

fundamental theorem of calculus N

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fundamental theorem of calculus MATH

Fundamentalsatz der Analysis m

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English

It is a generalization of the fundamental theorem of calculus to any curve in a plane or space (generally "n" -dimensional) rather than just the real line. en.wikipedia.org

This is shown from the binomial formula and the definition of the derivative and thus by the fundamental theorem of calculus the antiderivative is the integral. en.wikipedia.org

Thus, in the case that is a 0-form and is a closed interval of the real line, this reduces to the fundamental theorem of calculus. en.wikipedia.org

It may be seen as a stochastic generalization of the (second) fundamental theorem of calculus. en.wikipedia.org

Integration by substitution can be derived from the fundamental theorem of calculus as follows. en.wikipedia.org

In particular, the fundamental theorem of calculus allows one to solve a much broader class of problems. en.wikipedia.org

For most integrands we can't use the fundamental theorem of calculus to compute the integral analytically; we have to approximate it numerically. en.wikipedia.org

Barrow provided the first proof of the fundamental theorem of calculus. en.wikipedia.org

Using the fundamental theorem of calculus often requires finding an antiderivative. en.wikipedia.org

The fundamental theorem of calculus states that antidifferentiation is the same as integration. en.wikipedia.org

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