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Beliebt Rechnen >

integral of (6x^2-8x)

Lösung

\int (6 x^{2} - 8 x) d x

Lösung

2 x^{3} - 4 x^{2} + C

Schritte zur Lösung

\int 6 x^{2} - 8 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 6 x^{2} d x - \int 8 x d x

\int 6 x^{2} d x = 2 x^{3}

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

= 2 x^{3} - 4 x^{2}

Füge eine Konstante zur Lösung hinzu

= 2 x^{3} - 4 x^{2} + C

Graph

Beliebte Beispiele

y^{''}+4y^'+5=0

y^{^{''}} + 4 y^{^{'}} + 5 = 0

derivative y=(-3-5y)/(-8y+5x)

d er i v a t i v e y = \frac{- 3 - 5 y}{- 8 y + 5 x}

(t^2-xt^2)(dx)/(dt)+x^2+tx^2=0

(t^{2} - x t^{2}) \frac{d x}{d t} + x^{2} + t x^{2} = 0

integral of (5t)/(sqrt(1-25t^4))

\int \frac{5 t}{1 - 25 t ^{4}} d t

derivative cot(csc(x))

d er i v a t i v e cot (csc (x))