integral of (4x^3+(24)/(x^4))

Lösung

\int (4 x^{3} + \frac{24}{x ^{4}}) d x

x^{4} - \frac{8}{x ^{3}} + C

Schritte zur Lösung

\int 4 x^{3} + \frac{24}{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 4 x^{3} d x + \int \frac{24}{x ^{4}} d x

\int 4 x^{3} d x = x^{4}

\int \frac{24}{x ^{4}} d x = - \frac{8}{x ^{3}}

= x^{4} - \frac{8}{x ^{3}}

Füge eine Konstante zur Lösung hinzu

= x^{4} - \frac{8}{x ^{3}} + C

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