Flashcards

Integrale

sabasta Mathematik Bachelor German 5.0Average rating 5.0 out of 5 (1 rating) 10 cards

Cards in this deck (10)

1\[ \int \sin x \]\[ -\cos x + C \]
2\[ \int \cos x \]\[ \sin x + C \]
3\[ \int \frac{1}{x} \] für \(x<0\)\[ \ln(-x) + C \]
4\[ \int \frac{1}{x} \] für \(x>0\)\[ \ln(x) + C \]
5\[ \int e^x \]\[ e^x + C \]
6\[ \int e^{ax+b} \] für \(a \neq 0\)\[ \frac{1}{a} e^{ax+b} + C \]
7\[ \int x^n dx \]\[ \frac{x^{n+1}}{n+1} + C \]
8\[ \int (ax+b)^n dx \]\[ \frac{1}{a} \cdot \frac{(ax+b)^{n+1}}{n+1} + C \]
für \( n \neq -1\)
9\[ \int \frac{1}{ax+b} \] für \(ax+b>0, a \neq 0\)\[ \frac{1}{a} \ln(ax+b) + C \]
10\[ \int \frac{1}{ax+b} \] für \(ax+b<0, a \neq 0\)\[ \frac{1}{a} \ln(-ax-b) + C \]