integral of (8/(sqrt(x))+8sqrt(x))

Lösung

\int (\frac{8}{x} + 8 x) d x

16 x + \frac{16}{3} x^{\frac{3}{2}} + C

Schritte zur Lösung

\int \frac{8}{x} + 8 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{8}{x} d x + \int 8 x d x

\int \frac{8}{x} d x = 16 x

\int 8 x d x = \frac{16}{3} x^{\frac{3}{2}}

= 16 x + \frac{16}{3} x^{\frac{3}{2}}

Füge eine Konstante zur Lösung hinzu

= 16 x + \frac{16}{3} x^{\frac{3}{2}} + C

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