integral from 0 to 1 of 2/3 x^2

Lösung

\int_{0}^{1} \frac{2}{3} x^{2} d x

\frac{2}{9}

Dezimale

0.22222 \dots

Schritte zur Lösung

\int_{0}^{1} \frac{2}{3} x^{2} d x

Entferne die Konstante:

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

= \frac{2}{3} \cdot \int_{0}^{1} x^{2} d x

Wende die Potenzregel an

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

Berechne die Grenzen:

\frac{1}{3}

= \frac{2}{3} \cdot \frac{1}{3}

Vereinfache

= \frac{2}{9}

\int_{- π}^{\frac{3 π}{2}} cos (x) d x

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