integral from 0 to r of (r-(r^3)/(r^2))

Lösung

\int_{0}^{r} (r - \frac{r ^{3}}{r ^{2}}) d r

0

Schritte zur Lösung

\int_{0}^{r} r - \frac{r ^{3}}{r ^{2}} d r

r - \frac{r ^{3}}{r ^{2}} = 0

= \int_{0}^{r} 0 d r

Integral einer Konstanten :

\int a d x = a x

= [0 \cdot r]_{0}^{r}

Vereinfache

= [0]_{0}^{r}

Berechne die Grenzen:

0

= 0

\int_{0}^{π} sin^{3} (x) d x

\int_{2}^{4} y^{2} d y

\int_{\frac{π}{2}}^{π} (x - sin (x)) d x

\int_{- \frac{1}{2}}^{\frac{5}{4}} x^{3} d x

\int_{0}^{1} \frac{e ^{x} - 1}{e ^{x} + 1} d x