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Beliebt Rechnen >

integral of (x-1)^2

Lösung

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

Lösung

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

Schritte zur Lösung

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

Multipliziere aus

(x - 1)^{2} : x^{2} - 2 x + 1

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

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

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

\int 1 d x = x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

limit as x approaches 8 of 7

x \to 8 lim (7)

d er i v a t i v e 8

y=((x^2+2x)/(x+1))^5

y = (\frac{x ^{2} + 2 x}{x + 1})^{5}

integral of 1/2 x+1

\int \frac{1}{2} x + 1 d x

integral of (1-t^2)/(1+t^2)

\int \frac{1 - t ^{2}}{1 + t ^{2}} d t