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Beliebt Rechnen >

integral of x^3-2x+1

Lösung

\int x^{3} - 2 x + 1 d x

Lösung

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

Schritte zur Lösung

\int x^{3} - 2 x + 1 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^{3} d x - \int 2 x d x + \int 1 d x

\int x^{3} d x = \frac{x ^{4}}{4}

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

\int 1 d x = x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of sqrt(5+12x-9x^2)

\int 5 + 12 x - 9 x^{2} d x

integral of 1/(sqrt(1-x^2)arccos(x))

\int \frac{1}{1 - x ^{2} arccos ( x )} d x

integral of 60sqrt(x)

\int 60 x d x

integral of (e^{2x})/(7e^{2x)-11}

\int \frac{e ^{2 x}}{7 e ^{2 x} - 11} d x

integral of x^2*e^{xy}

\int x^{2} \cdot e^{x y} d y