integral from 0 to 2 of |3x-2|

Lösung

\int_{0}^{2} ∣ 3 x - 2 ∣ d x

\frac{10}{3}

Dezimale

3.33333 \dots

Schritte zur Lösung

\int_{0}^{2} ∣ 3 x - 2 ∣ d x

Entferne die Extremwerte

= \int_{0}^{\frac{2}{3}} - 3 x + 2 d x + \int_{\frac{2}{3}}^{2} 3 x - 2 d x

\int_{0}^{\frac{2}{3}} - 3 x + 2 d x = \frac{2}{3}

\int_{\frac{2}{3}}^{2} 3 x - 2 d x = \frac{8}{3}

= \frac{2}{3} + \frac{8}{3}

Vereinfache

\frac{2}{3} + \frac{8}{3} : \frac{10}{3}

= \frac{10}{3}

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