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Fix incorrect notes

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Manuel Thalmann 2022-06-19 20:58:07 +02:00
parent d91b81f13d
commit cf7fc7ad0e
1 changed files with 2 additions and 2 deletions
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Notes/Semester 2/AN2 - Analysis 2/Zusammenfassung SEP.md
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@ -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}$$