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Beliebt Rechnen >

integral of sqrt(x)-x^4

Lösung

\int x - x^{4} d x

Lösung

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

Schritte zur Lösung

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

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

derivative of (5x-2/(2x+7))

\frac{d}{d x} (\frac{5 x - 2}{2 x + 7})

y^{''}-3y^'-28y=0

y^{^{''}} - 3 y^{^{'}} - 28 y = 0

limit as x approaches 0 of (e^{x^6}-1)/x

x \to 0 lim (\frac{e ^{x^{6}} - 1}{x})

integral of 4e^{-2x}

\int 4 e^{- 2 x} d x

integral of sqrt(3+x)

\int 3 + x d x