integral from a to r of r^2

Lösung

\int_{a}^{r} r^{2} d r

\frac{r ^{3} - a ^{3}}{3}

Schritte zur Lösung

\int_{a}^{r} r^{2} d r

Wende die Potenzregel an

= [\frac{r ^{3}}{3}]_{a}^{r}

Berechne die Grenzen:

\frac{r ^{3}}{3} - \frac{a ^{3}}{3}

= \frac{r ^{3}}{3} - \frac{a ^{3}}{3}

Vereinfache

= \frac{r ^{3} - a ^{3}}{3}

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