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Beliebt Rechnen >

integral of e^{2ln(y)}*e^y

Lösung

\int e^{2 l n (y)} \cdot e^{y} d y

Lösung

y^{2} e^{y} - 2 (e^{y} y - e^{y}) + C

Schritte zur Lösung

\int e^{2 l n (y)} e^{y} d y

Vereinfache

e^{2 l n (y)} : y^{2}

= \int e^{y} y^{2} d y

Wende die partielle Integration an

= y^{2} e^{y} - \int 2 y e^{y} d y

\int 2 y e^{y} d y = 2 (e^{y} y - e^{y})

= y^{2} e^{y} - 2 (e^{y} y - e^{y})

Füge eine Konstante zur Lösung hinzu

= y^{2} e^{y} - 2 (e^{y} y - e^{y}) + C

Graph

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