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Beliebt Rechnen >

integral of (5x-x^2)

Lösung

\int (5 x - x^{2}) d x

Lösung

\frac{5 x ^{2}}{2} - \frac{x ^{3}}{3} + C

Schritte zur Lösung

\int 5 x - x^{2} 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 5 x d x - \int x^{2} d x

\int 5 x d x = \frac{5 x ^{2}}{2}

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

= \frac{5 x ^{2}}{2} - \frac{x ^{3}}{3}

Füge eine Konstante zur Lösung hinzu

= \frac{5 x ^{2}}{2} - \frac{x ^{3}}{3} + C

Graph

Beliebte Beispiele

integral of x/(\sqrt[3]{x)}

\int \frac{x}{3 x} d x

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