From cf7fc7ad0e5b296c363c7c972b59b2e70243e11f Mon Sep 17 00:00:00 2001 From: Manuel Thalmann Date: Sun, 19 Jun 2022 20:58:07 +0200 Subject: [PATCH] Fix incorrect notes --- Notes/Semester 2/AN2 - Analysis 2/Zusammenfassung SEP.md | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/Notes/Semester 2/AN2 - Analysis 2/Zusammenfassung SEP.md b/Notes/Semester 2/AN2 - Analysis 2/Zusammenfassung SEP.md index 2353f51..df56a6d 100644 --- a/Notes/Semester 2/AN2 - Analysis 2/Zusammenfassung SEP.md +++ b/Notes/Semester 2/AN2 - Analysis 2/Zusammenfassung SEP.md @@ -370,8 +370,8 @@ $$\begin{split} Für das aktuelle Beispiel ergibt das folgendes: $$\begin{split} - \int{\frac{2}{x - 1} + \frac{2}{x - 2} + \frac{3}{(x - 2)^2}}dx & = \int{\frac{2}{x - 1}} - \int{\frac{2}{x - 2}} + \int{\frac{3}{(x - 1)^2}} \\ - & = 2 \cdot \int{\frac{1}{x - 1} - 2 \cdot \int{\frac{1}{x - 2}}} + 3 \cdot \int{\frac{1}{(x - 2)^2}} \\ + \int{\frac{2}{x - 1} + \frac{2}{x - 2} + \frac{3}{(x - 2)^2}}dx & = \int{\frac{2}{x - 1}} - \int{\frac{2}{x - 2}} - \int{\frac{3}{(x - 1)^2}} \\ + & = 2 \cdot \int{\frac{1}{x - 1} - 2 \cdot \int{\frac{1}{x - 2}}} - 3 \cdot \int{\frac{1}{(x - 2)^2}} \\ & = 2 \cdot \ln(|x - 1|) - 2 \cdot \ln(|x - 2|) - 3 \cdot \frac{1}{x - 2} + c \end{split}$$