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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{1}{4} t^{4} (3 t^{4} + 2) - \frac{3 t ^{8}}{8} + C

Schritte zur Lösung

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

Wende die partielle Integration an

= \frac{1}{4} t^{4} (3 t^{4} + 2) - \int 3 t^{7} d t

\int 3 t^{7} d t = \frac{3 t ^{8}}{8}

= \frac{1}{4} t^{4} (3 t^{4} + 2) - \frac{3 t ^{8}}{8}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{4} t^{4} (3 t^{4} + 2) - \frac{3 t ^{8}}{8} + C

Graph

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