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Beliebt Rechnen >

integral of y^2(y+2/3)

Lösung

\int y^{2} (y + \frac{2}{3}) d y

Lösung

\frac{1}{9} y^{3} (3 y + 2) - \frac{y ^{4}}{12} + C

Schritte zur Lösung

\int y^{2} (y + \frac{2}{3}) d y

Wende die partielle Integration an

= \frac{1}{9} y^{3} (3 y + 2) - \int \frac{y ^{3}}{3} d y

\int \frac{y ^{3}}{3} d y = \frac{y ^{4}}{12}

= \frac{1}{9} y^{3} (3 y + 2) - \frac{y ^{4}}{12}

Füge eine Konstante zur Lösung hinzu

= \frac{1}{9} y^{3} (3 y + 2) - \frac{y ^{4}}{12} + C

Graph

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