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Beliebt Rechnen >

integral of (int)^2

Lösung

\int (in t)^{2} d t

Lösung

i^{2} n^{2} t^{3} - \frac{2 i ^{2} n ^{2} t ^{3}}{3} + C

Schritte zur Lösung

\int (in t)^{2} d t

Wende die partielle Integration an

= i^{2} n^{2} t^{3} - \int 2 i^{2} n^{2} t^{2} d t

\int 2 i^{2} n^{2} t^{2} d t = \frac{2 i ^{2} n ^{2} t ^{3}}{3}

= i^{2} n^{2} t^{3} - \frac{2 i ^{2} n ^{2} t ^{3}}{3}

Füge eine Konstante zur Lösung hinzu

= i^{2} n^{2} t^{3} - \frac{2 i ^{2} n ^{2} t ^{3}}{3} + C

Graph

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