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Beliebt Rechnen >

integral of \sqrt[6]{x}+1/(\sqrt[6]{x)}

Lösung

\int 6 x + \frac{1}{6 x} d x

Lösung

\frac{6}{7} x^{\frac{7}{6}} + \frac{6}{5} x^{\frac{5}{6}} + C

Schritte zur Lösung

\int 6 x + \frac{1}{6 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 6 x d x + \int \frac{1}{6 x} d x

\int 6 x d x = \frac{6}{7} x^{\frac{7}{6}}

\int \frac{1}{6 x} d x = \frac{6}{5} x^{\frac{5}{6}}

= \frac{6}{7} x^{\frac{7}{6}} + \frac{6}{5} x^{\frac{5}{6}}

Füge eine Konstante zur Lösung hinzu

= \frac{6}{7} x^{\frac{7}{6}} + \frac{6}{5} x^{\frac{5}{6}} + C

Graph

Beliebte Beispiele

integral of u^3

\int u^{3} d u

derivative (2x-1)/(4x+8)

d er i v a t i v e \frac{2 x - 1}{4 x + 8}

integral of (ln(x^4))/x

\int \frac{ln ( x ^{4} )}{x} d x

derivative of 1/x e^x

\frac{d}{d x} (\frac{1}{x} e^{x})

\frac{d y}{d x} = a \cdot y