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Beliebt Rechnen >

integral of x*e^{x/4}

Lösung

\int x \cdot e^{\frac{x}{4}} d x

Lösung

4 e^{\frac{x}{4}} x - 16 e^{\frac{x}{4}} + C

Schritte zur Lösung

\int x e^{\frac{x}{4}} d x

Wende die partielle Integration an

= 4 e^{\frac{x}{4}} x - \int 4 e^{\frac{x}{4}} d x

\int 4 e^{\frac{x}{4}} d x = 16 e^{\frac{x}{4}}

= 4 e^{\frac{x}{4}} x - 16 e^{\frac{x}{4}}

Füge eine Konstante zur Lösung hinzu

= 4 e^{\frac{x}{4}} x - 16 e^{\frac{x}{4}} + C

Graph

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