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Mathe Quiz

JohannesK

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Integrale

Description

Gängige Integrale, die man kennen sollte.

Flashcards by sabasta, updated more than 1 year ago

	Created by sabasta about 9 years ago

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Resource summary

Question	Answer
$\int \sin x$	$-\cos x + C$
$\int \cos x$	$\sin x + C$
$\int \frac{1}{x}$ für $x<0$	$\ln(-x) + C$
$\int \frac{1}{x}$ für $x>0$	$\ln(x) + C$
$\int e^x$	$e^x + C$
$\int e^{ax+b}$ für $a \neq 0$	$\frac{1}{a} e^{ax+b} + C$
$\int x^n dx$	$\frac{x^{n+1}}{n+1} + C$
$\int (ax+b)^n dx$	$\frac{1}{a} \cdot \frac{(ax+b)^{n+1}}{n+1} + C$ für $n \neq -1$
$\int \frac{1}{ax+b}$ für $ax+b>0, a \neq 0$	$\frac{1}{a} \ln(ax+b) + C$
$\int \frac{1}{ax+b}$ für $ax+b<0, a \neq 0$	$\frac{1}{a} \ln(-ax-b) + C$

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