integral of (\sqrt[4]{x}+\sqrt[5]{x})

Lösung

\int (4 x + 5 x) d x

\frac{4}{5} x^{\frac{5}{4}} + \frac{5}{6} x^{\frac{6}{5}} + C

Schritte zur Lösung

\int 4 x + 5 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 4 x d x + \int 5 x d x

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

\int 5 x d x = \frac{5}{6} x^{\frac{6}{5}}

= \frac{4}{5} x^{\frac{5}{4}} + \frac{5}{6} x^{\frac{6}{5}}

Füge eine Konstante zur Lösung hinzu

= \frac{4}{5} x^{\frac{5}{4}} + \frac{5}{6} x^{\frac{6}{5}} + C

(9 x + 0.8 x^{2} + 0.07 x^{3})^{^{'}}

d er i v a t i v e y = cos (x)

t a y l or ln (\frac{1 + x}{1 - x})

\frac{d}{d x} (lo g_{5} (4 x^{2} + 5 x - 8))

\frac{\partial}{\partial x} (x y + \frac{y}{x})