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Beliebt Rechnen >

integral of 3/(2x^4)-2x

Lösung

\int \frac{3}{2 x ^{4}} - 2 x d x

Lösung

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

Schritte zur Lösung

\int \frac{3}{2 x ^{4}} - 2 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 \frac{3}{2 x ^{4}} d x - \int 2 x d x

\int \frac{3}{2 x ^{4}} d x = - \frac{1}{2 x ^{3}}

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

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