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Beliebt Rechnen >

integral of x^2e^{21x}

Lösung

\int x^{2} e^{21 x} d x

Lösung

\frac{1}{21} e^{21 x} x^{2} - \frac{2}{9261} (21 e^{21 x} x - e^{21 x}) + C

Schritte zur Lösung

\int x^{2} e^{21 x} d x

Wende die partielle Integration an

= \frac{1}{21} e^{21 x} x^{2} - \int \frac{2}{21} e^{21 x} x d x

\int \frac{2}{21} e^{21 x} x d x = \frac{2}{9261} (21 e^{21 x} x - e^{21 x})

= \frac{1}{21} e^{21 x} x^{2} - \frac{2}{9261} (21 e^{21 x} x - e^{21 x})

Füge eine Konstante zur Lösung hinzu

= \frac{1}{21} e^{21 x} x^{2} - \frac{2}{9261} (21 e^{21 x} x - e^{21 x}) + C

Graph

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