integral of 4/(x^5)-5x^4

Lösung

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

- \frac{1}{x ^{4}} - x^{5} + C

Schritte zur Lösung

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

\int \frac{4}{x ^{5}} d x = - \frac{1}{x ^{4}}

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

= - \frac{1}{x ^{4}} - x^{5}

Füge eine Konstante zur Lösung hinzu

= - \frac{1}{x ^{4}} - x^{5} + C

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