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Beliebt Rechnen >

integral of (3sqrt(x)+2/(x^3))

Lösung

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

Lösung

2 x^{\frac{3}{2}} - \frac{1}{x ^{2}} + C

Schritte zur Lösung

\int 3 x + \frac{2}{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 3 x d x + \int \frac{2}{x ^{3}} d x

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

\int \frac{2}{x ^{3}} d x = - \frac{1}{x ^{2}}

= 2 x^{\frac{3}{2}} - \frac{1}{x ^{2}}

Füge eine Konstante zur Lösung hinzu

= 2 x^{\frac{3}{2}} - \frac{1}{x ^{2}} + C

Graph

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