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Beliebt Rechnen >

integral of (5x^3+3cos(x))

Lösung

\int (5 x^{3} + 3 cos (x)) d x

Lösung

\frac{5 x ^{4}}{4} + 3 sin (x) + C

Schritte zur Lösung

\int 5 x^{3} + 3 cos (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 5 x^{3} d x + \int 3 cos (x) d x

\int 5 x^{3} d x = \frac{5 x ^{4}}{4}

\int 3 cos (x) d x = 3 sin (x)

= \frac{5 x ^{4}}{4} + 3 sin (x)

Füge eine Konstante zur Lösung hinzu

= \frac{5 x ^{4}}{4} + 3 sin (x) + C

Graph

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