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Beliebt Rechnen >

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

Lösung

\int (x^{4} - \frac{6}{x ^{4}}) d x

Lösung

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

Schritte zur Lösung

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

\int x^{4} d x = \frac{x ^{5}}{5}

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

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

Vereinfache

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of x/((x^2))

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

integral of (-15)/(x^2+1)

\int \frac{- 15}{x ^{2} + 1} d x

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