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Beliebt Rechnen >

integral of 8x+1/(sqrt(x))

Lösung

\int 8 x + \frac{1}{x} d x

Lösung

4 x^{2} + 2 x + C

Schritte zur Lösung

\int 8 x + \frac{1}{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 8 x d x + \int \frac{1}{x} d x

\int 8 x d x = 4 x^{2}

\int \frac{1}{x} d x = 2 x

= 4 x^{2} + 2 x

Füge eine Konstante zur Lösung hinzu

= 4 x^{2} + 2 x + C

Graph

Beliebte Beispiele

derivative of (x+4/(3x^2e^x))

\frac{d}{d x} (\frac{x + 4}{3 x ^{2} e ^{x}})

integral from 0 to 1 of e^{sqrt(x)}

\int_{0}^{1} e^{x} d x

derivative of sqrt(x+a)

\frac{d}{d x} (x + a)

derivative of ln(x-y)

\frac{d}{d x} (ln (x - y))

derivative of 1/(\sqrt[9]{x})

\frac{d}{d x} (\frac{1}{9 x})