Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 noun calculus an
indefinite integral
Etymologies
Sorry, no etymologies found.
Examples

But the antiderivative we have here looks like this:
Wolfram Blog : Mathematica and the Fundamental Theorem of Calculus

Differentiating this shows that it is indeed an antiderivative of the same function as above.
Wolfram Blog : Mathematica and the Fundamental Theorem of Calculus

Because, when you state it fully, the theorem requires that the antiderivative that is going to be subtracted be continuous throughout the interval.
Wolfram Blog : Mathematica and the Fundamental Theorem of Calculus

And indeed one can show that there is no single choice of antiderivative for which the Fundamental Theorem will always work.
Wolfram Blog : Mathematica and the Fundamental Theorem of Calculus

Moreover, if a meromorphic integrand has simple poles in the complex plane, it is impossible to choose an antiderivative continuous along every imaginable path in the complex plane – because of branch cuts in.
Wolfram Blog : Mathematica and the Fundamental Theorem of Calculus

The Fundamental Theorem of Calculus states that an antiderivative continuous along a chosen path always exists.
Wolfram Blog : Mathematica and the Fundamental Theorem of Calculus

Goldman denied it, but the charge hardened antibank, antiWall Street, antiderivative sentiment in Congress.

Another thing it can do is to make use of ambiguity in the antiderivative.
Wolfram Blog : Mathematica and the Fundamental Theorem of Calculus

Sometimes it works by detecting discontinuities in the antiderivative, and then breaking up the integration region into parts, and carefully taking directional limits at the discontinuity points:
Wolfram Blog : Mathematica and the Fundamental Theorem of Calculus

English  German absolute value  Betrag antiderivative  Stammfunktion approach ("limit of 1 over x as x approaches infinity")  annähern ("Grenzwert von 1 durch x für x gegen unendlich")
Comments
Log in or sign up to get involved in the conversation. It's quick and easy.