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Beliebt Rechnen >

integral of (x^2-7x)

Lösung

\int (x^{2} - 7 x) d x

Lösung

\frac{x ^{3}}{3} - \frac{7 x ^{2}}{2} + C

Schritte zur Lösung

\int x^{2} - 7 x 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

= \int x^{2} d x - \int 7 x d x

\int x^{2} d x = \frac{x ^{3}}{3}

\int 7 x d x = \frac{7 x ^{2}}{2}

= \frac{x ^{3}}{3} - \frac{7 x ^{2}}{2}

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{3}}{3} - \frac{7 x ^{2}}{2} + C

Graph

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\int \frac{6 x}{x ^{2} - 1} d x

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