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Beliebt Rechnen >

integral of (3x^8-7x^3+8)

Lösung

\int (3 x^{8} - 7 x^{3} + 8) d x

Lösung

\frac{x ^{9}}{3} - \frac{7 x ^{4}}{4} + 8 x + C

Schritte zur Lösung

\int 3 x^{8} - 7 x^{3} + 8 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 3 x^{8} d x - \int 7 x^{3} d x + \int 8 d x

\int 3 x^{8} d x = \frac{x ^{9}}{3}

\int 7 x^{3} d x = \frac{7 x ^{4}}{4}

\int 8 d x = 8 x

= \frac{x ^{9}}{3} - \frac{7 x ^{4}}{4} + 8 x

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{9}}{3} - \frac{7 x ^{4}}{4} + 8 x + C

Graph

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