Antiderivative

But the antiderivative we have here looks like this: ❋ Unknown (2008)

Because, when you state it fully, the theorem requires that the antiderivative that is going to be subtracted be continuous throughout the interval. ❋ Unknown (2008)

Goldman denied it, but the charge hardened antibank, anti-Wall Street, antiderivative sentiment in Congress. ❋ Unknown (2010)

And indeed one can show that there is no single choice of antiderivative for which the Fundamental Theorem will always work. ❋ Unknown (2008)

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. ❋ Unknown (2008)

The Fundamental Theorem of Calculus states that an antiderivative continuous along a chosen path always exists. ❋ Unknown (2008)

Differentiating this shows that it is indeed an antiderivative of the same function as above. ❋ Unknown (2008)

Another thing it can do is to make use of ambiguity in the antiderivative. ❋ Unknown (2008)

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: ❋ Unknown (2008)

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") ❋ C N Heidelberg (2009)

Any research mathematician who computes an antiderivative symbolically is quoting the ❋ Unknown (2010)

Find the most general antiderivative of the function? ❋ Unknown (2010)

Evaluating an indefinite integral yields the antiderivative of the integrand plus a constant of integration. ❋ Unknown (2009)

Consider an antiderivative of the function, such as. ❋ Unknown (2008)

So how come Mathematica doesn’t always generate the “better” antiderivative, so that the Fundamental Theorem of Calculus applies directly? ❋ Unknown (2008)

It doesn’t happen to be the antiderivative that Mathematica generates by default. ❋ Unknown (2008)

a: hey, [what does] antiderivative mean? b: [same thing] as [integral]. ❋ Alperthereal (2004)