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Beliebt Rechnen >

integral of-x^7*e^{x^8-7}-2x

Lösung

\int - x^{7} \cdot e^{x^{8} - 7} - 2 x d x

Lösung

- \frac{1}{8} e^{x^{8} - 7} - x^{2} + C

Schritte zur Lösung

\int - x^{7} e^{x^{8} - 7} - 2 x 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^{7} e^{x^{8} - 7} d x - \int 2 x d x

\int x^{7} e^{x^{8} - 7} d x = \frac{1}{8} e^{x^{8} - 7}

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

= - \frac{1}{8} e^{x^{8} - 7} - x^{2}

Füge eine Konstante zur Lösung hinzu

= - \frac{1}{8} e^{x^{8} - 7} - x^{2} + C

Graph

Beliebte Beispiele

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\int 14 x e^{7 x} d x

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