integral from-1 to 2 of |2x-1|

Lösung

\int_{- 1}^{2} ∣ 2 x - 1 ∣ d x

\frac{9}{2}

Dezimale

4.5

Schritte zur Lösung

\int_{- 1}^{2} ∣ 2 x - 1 ∣ d x

Entferne die Extremwerte

= \int_{- 1}^{\frac{1}{2}} - 2 x + 1 d x + \int_{\frac{1}{2}}^{2} 2 x - 1 d x

\int_{- 1}^{\frac{1}{2}} - 2 x + 1 d x = \frac{9}{4}

\int_{\frac{1}{2}}^{2} 2 x - 1 d x = \frac{9}{4}

= \frac{9}{4} + \frac{9}{4}

Vereinfache

\frac{9}{4} + \frac{9}{4} : \frac{9}{2}

= \frac{9}{2}

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