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Beliebt Rechnen >

integral of 6x^5-8x^4-9x^2

Lösung

\int 6 x^{5} - 8 x^{4} - 9 x^{2} d x

Lösung

x^{6} - \frac{8 x ^{5}}{5} - 3 x^{3} + C

Schritte zur Lösung

\int 6 x^{5} - 8 x^{4} - 9 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 6 x^{5} d x - \int 8 x^{4} d x - \int 9 x^{2} d x

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

\int 8 x^{4} d x = \frac{8 x ^{5}}{5}

\int 9 x^{2} d x = 3 x^{3}

= x^{6} - \frac{8 x ^{5}}{5} - 3 x^{3}

Füge eine Konstante zur Lösung hinzu

= x^{6} - \frac{8 x ^{5}}{5} - 3 x^{3} + C

Graph

Beliebte Beispiele

y^{^{'}} = 2 t e^{7 y}

integral of xe^{-4x}

\int x e^{- 4 x} d x

derivative f(x)=(-3)/(x^4)

d er i v a t i v e f (x) = \frac{- 3}{x ^{4}}

integral from 4 to 69 of 1/(x^3-64)

\int_{4}^{69} \frac{1}{x ^{3} - 64} d x

limit as x approaches 0 of x^2+4

x \to 0 lim (x^{2} + 4)