integral of ((12)/(sqrt(x))+12sqrt(x))

Lösung

\int (\frac{12}{x} + 12 x) d x

24 x + 8 x^{\frac{3}{2}} + C

Schritte zur Lösung

\int \frac{12}{x} + 12 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{12}{x} d x + \int 12 x d x

\int \frac{12}{x} d x = 24 x

\int 12 x d x = 8 x^{\frac{3}{2}}

= 24 x + 8 x^{\frac{3}{2}}

Füge eine Konstante zur Lösung hinzu

= 24 x + 8 x^{\frac{3}{2}} + C

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