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Beliebt Rechnen >

integral of-x^3-8x+5

Lösung

\int - x^{3} - 8 x + 5 d x

Lösung

- \frac{x ^{4}}{4} - 4 x^{2} + 5 x + C

Schritte zur Lösung

\int - x^{3} - 8 x + 5 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^{3} d x - \int 8 x d x + \int 5 d x

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

\int 8 x d x = 4 x^{2}

\int 5 d x = 5 x

= - \frac{x ^{4}}{4} - 4 x^{2} + 5 x

Füge eine Konstante zur Lösung hinzu

= - \frac{x ^{4}}{4} - 4 x^{2} + 5 x + C

Graph

Beliebte Beispiele

limit as x approaches 0 of 1/(x+x^5)

x \to 0 lim (\frac{1}{x + x ^{5}})

fläche 2x^2-x^3,y=0

a re a 2 x^{2} - x^{3}, y = 0

integral of-3/2 x^2

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

integral of (tan(x/(18)))^5

\int (tan (\frac{x}{18}))^{5} d x

derivative of (4x/((1-x^2)^2))

\frac{d}{d x} (\frac{4 x}{( 1 - x ^{2} ) ^{2}})