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Beliebt Rechnen >

integral of 6x^2-3/(2x^4)

Lösung

\int 6 x^{2} - \frac{3}{2 x ^{4}} d x

Lösung

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

Schritte zur Lösung

\int 6 x^{2} - \frac{3}{2 x ^{4}} 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 6 x^{2} d x - \int \frac{3}{2 x ^{4}} d x

\int 6 x^{2} d x = 2 x^{3}

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

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

Vereinfache

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

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\int \frac{x ^{7} - 5 x}{x ^{5}} d x

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