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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

integral of 1/(e^{6x)}

\int \frac{1}{e ^{6 x}} d x

(dP)/(dt)=50P-1/10 P

\frac{d P}{d t} = 50 P - \frac{1}{10} P

integral of (cos(2t))/2

\int \frac{cos ( 2 t )}{2} d t

derivative of (e^x/(e^x-1))

\frac{d}{d x} (\frac{e ^{x}}{e ^{x} - 1})

integral of ln(x^2+x)

\int ln (x^{2} + x) d x