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Beliebt Rechnen >

integral of 4x^2-x

Lösung

\int 4 x^{2} - x d x

Lösung

\frac{4 x ^{3}}{3} - \frac{x ^{2}}{2} + C

Schritte zur Lösung

\int 4 x^{2} - 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 4 x^{2} d x - \int x d x

\int 4 x^{2} d x = \frac{4 x ^{3}}{3}

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

= \frac{4 x ^{3}}{3} - \frac{x ^{2}}{2}

Füge eine Konstante zur Lösung hinzu

= \frac{4 x ^{3}}{3} - \frac{x ^{2}}{2} + C

Graph

Beliebte Beispiele

integral of 1 (x^3)

\int \frac{d}{1} (x^{3}) d x

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\int (2 x - 2)^{3} d x

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\int \frac{9}{x x ^{2} - 4} d x

integral of (x^2+2)/(x^2-1)

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