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Beliebt Rechnen >

integral of x^3(2+x^4)

Lösung

\int x^{3} (2 + x^{4}) d x

Lösung

\frac{1}{4} x^{4} (2 + x^{4}) - \frac{x ^{8}}{8} + C

Schritte zur Lösung

\int x^{3} (2 + x^{4}) d x

Wende die partielle Integration an

= \frac{1}{4} x^{4} (2 + x^{4}) - \int x^{7} d x

\int x^{7} d x = \frac{x ^{8}}{8}

= \frac{1}{4} x^{4} (2 + x^{4}) - \frac{x ^{8}}{8}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{4} x^{4} (2 + x^{4}) - \frac{x ^{8}}{8} + C

Graph

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