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Beliebt Rechnen >

integral of 12x^{1/2}

Lösung

\int 12 x^{\frac{1}{2}} d x

Lösung

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

Schritte zur Lösung

\int 12 x^{\frac{1}{2}} d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 12 \cdot \int x^{\frac{1}{2}} d x

Wende die Potenzregel an

= 12 \cdot \frac{2}{3} x^{\frac{3}{2}}

Vereinfache

12 \cdot \frac{2}{3} x^{\frac{3}{2}} : 8 x^{\frac{3}{2}}

= 8 x^{\frac{3}{2}}

Füge eine Konstante zur Lösung hinzu

= 8 x^{\frac{3}{2}} + C

Graph

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