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Beliebt Rechnen >

integral of (2x-3)/6

Lösung

\int \frac{2 x - 3}{6} d x

Lösung

\frac{1}{6} (x^{2} - 3 x) + C

Schritte zur Lösung

\int \frac{2 x - 3}{6} d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{6} \cdot \int 2 x - 3 d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \frac{1}{6} (\int 2 x d x - \int 3 d x)

\int 2 x d x = x^{2}

\int 3 d x = 3 x

= \frac{1}{6} (x^{2} - 3 x)

Füge eine Konstante zur Lösung hinzu

= \frac{1}{6} (x^{2} - 3 x) + C

Graph

Beliebte Beispiele

derivative of (x^2/(x^4))

\frac{d}{d x} (\frac{x ^{2}}{x ^{4}})

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\frac{d}{d x} (\frac{1}{1 - x})

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\int coth^{2} (x) d x

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\int \frac{1}{9 - x ^{2}} d x

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\int e^{- k N x} d x