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Beliebt Rechnen >

integral of (-x^2-2x)

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

fläche y=sqrt(x),y= 1/2 x,x=9

a re a y = x, y = \frac{1}{2} x, x = 9

derivative of 1/(x^2+2x+1)

\frac{d}{d x} (\frac{1}{x ^{2} + 2 x + 1})

tangent y=(s-4)(s^2-3),(1,6)

t an g e n t y = (s - 4) (s^{2} - 3), (1, 6)

derivative of (x^4/4)

\frac{d}{d x} (\frac{x ^{4}}{4})

integral from 0 to pi/(20) of cos(5x)

\int_{0}^{\frac{π}{20}} cos (5 x) d x