integral from 0 to 2pi of (sin(x))^3

Lösung

\int_{0}^{2 π} (sin (x))^{3} d x

0

Schritte zur Lösung

\int_{0}^{2 π} (sin (x))^{3} d x

Berechne das unbestimmte Integral:

\int (sin (x))^{3} d x = - cos (x) + \frac{cos ^{3} ( x )}{3} + C

Berechne die Grenzen:

\int_{0}^{2 π} (sin (x))^{3} d x = - \frac{2}{3} - (- \frac{2}{3})

= - \frac{2}{3} - (- \frac{2}{3})

Vereinfache

= 0

\int_{0}^{1} [3 x + cos (3 x - 3)] d x

\int_{0}^{r} r^{3} d r

\int_{0}^{x} \frac{2 t - 3}{4 t ^{2} + 7} d t

\int_{1}^{e} \frac{x ^{3} + 1}{1 + x ^{2}} d x

\int_{0}^{2} (1 - x) d x