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Beliebt Rechnen >

integral of (x^4-6x^2-2x+4)

Lösung

\int (x^{4} - 6 x^{2} - 2 x + 4) d x

Lösung

\frac{x ^{5}}{5} - 2 x^{3} - x^{2} + 4 x + C

Schritte zur Lösung

\int x^{4} - 6 x^{2} - 2 x + 4 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^{4} d x - \int 6 x^{2} d x - \int 2 x d x + \int 4 d x

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

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

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

\int 4 d x = 4 x

= \frac{x ^{5}}{5} - 2 x^{3} - x^{2} + 4 x

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{5}}{5} - 2 x^{3} - x^{2} + 4 x + C

Graph

Beliebte Beispiele

0^{^{'}}

(dy)/(dx)=(2x)/(e^{2y)}

\frac{d y}{d x} = \frac{2 x}{e ^{2 y}}

a re a x^{2}, 2 x

f(x)=ln(ln(5x))

f (x) = ln (ln (5 x))

integral of e^{-t^8}

\int e^{- t^{8}} d t