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Beliebt Rechnen >

integral of (x/2+1)

Lösung

\int (\frac{x}{2} + 1) d x

Lösung

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

Schritte zur Lösung

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

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

\int 1 d x = x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

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\frac{d y}{d x} = \frac{- 2 x y + 1}{x ^{2} + 2 y}

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\int x^{b - 1} e^{x^{b}} d x