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Beliebt Rechnen >

integral of 2x-6x^2

Lösung

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

Lösung

x^{2} - 2 x^{3} + C

Schritte zur Lösung

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

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

\int 6 x^{2} d x = 2 x^{3}

= x^{2} - 2 x^{3}

Füge eine Konstante zur Lösung hinzu

= x^{2} - 2 x^{3} + C

Graph

Beliebte Beispiele

integral of (3/8 x-10)^5

\int (\frac{3}{8} x - 10)^{5} d x

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\int \frac{3 x}{2 x - 1} d x

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\int \frac{1}{28 - 12 x - x ^{2}} d x

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\int \frac{x + 2}{x ^{2} + 7 x + 6} d x

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\int cos (5 x) cos (x) d x