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Beliebt Rechnen >

integral of (x+8)^2

Lösung

\int (x + 8)^{2} d x

Lösung

\frac{x ^{3}}{3} + 8 x^{2} + 64 x + C

Schritte zur Lösung

\int (x + 8)^{2} d x

Multipliziere aus

(x + 8)^{2} : x^{2} + 16 x + 64

= \int x^{2} + 16 x + 64 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 16 x d x + \int 64 d x

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

\int 16 x d x = 8 x^{2}

\int 64 d x = 64 x

= \frac{x ^{3}}{3} + 8 x^{2} + 64 x

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{3}}{3} + 8 x^{2} + 64 x + C

Graph

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