integral from 0 to 2 of (x^2)/8

Lösung

\int_{0}^{2} \frac{x ^{2}}{8} d x

\frac{1}{3}

Dezimale

0.33333 \dots

Schritte zur Lösung

\int_{0}^{2} \frac{x ^{2}}{8} d x

Entferne die Konstante:

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

= \frac{1}{8} \cdot \int_{0}^{2} x^{2} d x

Wende die Potenzregel an

= \frac{1}{8} [\frac{x ^{3}}{3}]_{0}^{2}

Berechne die Grenzen:

\frac{8}{3}

= \frac{1}{8} \cdot \frac{8}{3}

Vereinfache

= \frac{1}{3}

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