diff --git a/semester2/analysis-i/cheat-sheet-jh/parts/riemann-integral.tex b/semester2/analysis-i/cheat-sheet-jh/parts/riemann-integral.tex index f55bb5c..495b0b7 100644 --- a/semester2/analysis-i/cheat-sheet-jh/parts/riemann-integral.tex +++ b/semester2/analysis-i/cheat-sheet-jh/parts/riemann-integral.tex @@ -71,7 +71,7 @@ $\limit{x}{x_0} \frac{F(x) - F(x_0)}{x - x_0} = f(x_0)$ \hspace{10cm} $\square$ \begin{theorem}[]{\tr{Second Fundamental Theorem of Calculus}{Zweiter Fundamentalsatz}} $f$ \tr{as in 5.4.1. Then there exists an anti-derivative $F$ of $f$ that is uniquely determined bar the constant of integration and}{wie in 5.4.1. Dann existiert eine Stammfunktion $F$ von $f$ die eindeutig bestimmt ist bist auf die Integrationskonstante und} \begin{align*} - \int_{a}^{b} f(x) \dx x = F(a) - F(b) + \int_{a}^{b} f(x) \dx x = F(b) - F(a) \end{align*} \end{theorem}