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Beliebt Rechnen >

integral of (5x^{3/2}-3)

Lösung

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

Lösung

2 x^{\frac{5}{2}} - 3 x + C

Schritte zur Lösung

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

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

\int 3 d x = 3 x

= 2 x^{\frac{5}{2}} - 3 x

Füge eine Konstante zur Lösung hinzu

= 2 x^{\frac{5}{2}} - 3 x + C

Graph

Beliebte Beispiele

integral of e^{10x}5x

\int e^{10 x} 5 x d x

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\int 3 x ln (6 x) d x

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\int x ln (x^{3} + 1) d x