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Beliebt Rechnen >

integral of (8x+sqrt(x))

Lösung

\int (8 x + x) d x

Lösung

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

Schritte zur Lösung

\int 8 x + 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 x d x

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

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

= 4 x^{2} + \frac{2}{3} x^{\frac{3}{2}}

Füge eine Konstante zur Lösung hinzu

= 4 x^{2} + \frac{2}{3} x^{\frac{3}{2}} + C

Graph

Beliebte Beispiele

integral of e^xsin(y-x)

\int e^{x} sin (y - x) d x

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\int 2 (2 x - 1) d x

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\int \frac{3}{8} (4 x - 2 x^{2}) d x

integral of 5tcos(t)

\int 5 t cos (t) d t

integral of sqrt(x-8)

\int x - 8 d x