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Beliebt Rechnen >

integral of 2cos(x)-5sqrt(x^3)

Lösung

\int 2 cos (x) - 5 x^{3} d x

Lösung

2 sin (x) - 2 x^{\frac{5}{2}} + C

Schritte zur Lösung

\int 2 cos (x) - 5 x^{3} 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 2 cos (x) d x - \int 5 x^{3} d x

\int 2 cos (x) d x = 2 sin (x)

\int 5 x^{3} d x = 2 x^{\frac{5}{2}}

= 2 sin (x) - 2 x^{\frac{5}{2}}

Füge eine Konstante zur Lösung hinzu

= 2 sin (x) - 2 x^{\frac{5}{2}} + C

Graph

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