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Beliebt Rechnen >

integral of 2x^2-4x-6

Lösung

\int 2 x^{2} - 4 x - 6 d x

Lösung

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

Schritte zur Lösung

\int 2 x^{2} - 4 x - 6 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^{2} d x - \int 4 x d x - \int 6 d x

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

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

\int 6 d x = 6 x

= \frac{2 x ^{3}}{3} - 2 x^{2} - 6 x

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

derivative of x^{9/x}

\frac{d}{d x} (x^{\frac{9}{x}})

(dy)/(dt)=2100-300(y/(17000))

\frac{d y}{d t} = 2100 - 300 (\frac{y}{17000})

integral of 5/(x^6)

\int \frac{5}{x ^{6}} d x

derivative of ln((x+3^{-1}))

\frac{d}{d x} (ln ((x + 3)^{- 1}))

limit as x approaches 0 of (x^2+2x-1)/x

x \to 0 lim (\frac{x ^{2} + 2 x - 1}{x})