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Beliebt Rechnen >

integral of sin(x)-x^4

Lösung

\int sin (x) - x^{4} d x

Lösung

- cos (x) - \frac{x ^{5}}{5} + C

Schritte zur Lösung

\int sin (x) - x^{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 sin (x) d x - \int x^{4} d x

\int sin (x) d x = - cos (x)

\int x^{4} d x = \frac{x ^{5}}{5}

= - cos (x) - \frac{x ^{5}}{5}

Füge eine Konstante zur Lösung hinzu

= - cos (x) - \frac{x ^{5}}{5} + C

Graph

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