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Beliebt Rechnen >

integral of (-4x^4+5sin(x))

Lösung

\int (- 4 x^{4} + 5 sin (x)) d x

Lösung

- \frac{4 x ^{5}}{5} - 5 cos (x) + C

Schritte zur Lösung

\int - 4 x^{4} + 5 sin (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 4 x^{4} d x + \int 5 sin (x) d x

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

\int 5 sin (x) d x = - 5 cos (x)

= - \frac{4 x ^{5}}{5} - 5 cos (x)

Füge eine Konstante zur Lösung hinzu

= - \frac{4 x ^{5}}{5} - 5 cos (x) + C

Graph

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