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Beliebt Rechnen >

integral of (-6x^6-2x^3-4)

Lösung

\int (- 6 x^{6} - 2 x^{3} - 4) d x

Lösung

- \frac{6 x ^{7}}{7} - \frac{x ^{4}}{2} - 4 x + C

Schritte zur Lösung

\int - 6 x^{6} - 2 x^{3} - 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 6 x^{6} d x - \int 2 x^{3} d x - \int 4 d x

\int 6 x^{6} d x = \frac{6 x ^{7}}{7}

\int 2 x^{3} d x = \frac{x ^{4}}{2}

\int 4 d x = 4 x

= - \frac{6 x ^{7}}{7} - \frac{x ^{4}}{2} - 4 x

Füge eine Konstante zur Lösung hinzu

= - \frac{6 x ^{7}}{7} - \frac{x ^{4}}{2} - 4 x + C

Graph

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