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Beliebt Rechnen >

integral of x^2+4x-8

Lösung

\int x^{2} + 4 x - 8 d x

Lösung

\frac{x ^{3}}{3} + 2 x^{2} - 8 x + C

Schritte zur Lösung

\int x^{2} + 4 x - 8 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 4 x d x - \int 8 d x

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

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

\int 8 d x = 8 x

= \frac{x ^{3}}{3} + 2 x^{2} - 8 x

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{3}}{3} + 2 x^{2} - 8 x + C

Graph

Beliebte Beispiele

integral from-1 to-2 of ((16-x^3)/(x^3))

\int_{- 1}^{- 2} (\frac{16 - x ^{3}}{x ^{3}}) d x

f (x) = x - 7

derivative of (sqrt(x)+x^3/(x^2))

\frac{d}{d x} (\frac{x + x ^{3}}{x ^{2}})

derivative xsqrt(18-x^2)

d er i v a t i v e x 18 - x^{2}

laplacetransform te^{3t}

l a pl a ce t r an s f or m t e^{3 t}