integral from 0 to 8 of pix^{2/3}

Lösung

\int_{0}^{8} π x^{\frac{2}{3}} d x

\frac{96 π}{5}

Dezimale

60.31857 \dots

Schritte zur Lösung

\int_{0}^{8} π x^{\frac{2}{3}} d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= π \cdot \int_{0}^{8} x^{\frac{2}{3}} d x

Wende die Potenzregel an

= π [\frac{3}{5} x^{\frac{5}{3}}]_{0}^{8}

Berechne die Grenzen:

\frac{96}{5}

= π \frac{96}{5}

Vereinfache

= \frac{96 π}{5}

\int_{- 1}^{0} - cos (nπ x) d x

\int_{0}^{\frac{π}{2}} 1 sin^{2} (x) d x

\int_{- 4}^{0} x^{3} - x^{2} - 14 x d x

\int_{0}^{2} x + 5 d x

\int_{π}^{x} t^{3} sin^{2} (t) d t