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Beliebt Rechnen >

integral from-1 to 2 of |2x-3|

Lösung

\int_{- 1}^{2} ∣ 2 x - 3 ∣ d x

Lösung

\frac{13}{2}

+1

Dezimale

6.5

Schritte zur Lösung

\int_{- 1}^{2} ∣ 2 x - 3 ∣ d x

Entferne die Extremwerte

= \int_{- 1}^{\frac{3}{2}} - 2 x + 3 d x + \int_{\frac{3}{2}}^{2} 2 x - 3 d x

\int_{- 1}^{\frac{3}{2}} - 2 x + 3 d x = \frac{25}{4}

\int_{\frac{3}{2}}^{2} 2 x - 3 d x = \frac{1}{4}

= \frac{25}{4} + \frac{1}{4}

Vereinfache

\frac{25}{4} + \frac{1}{4} : \frac{13}{2}

= \frac{13}{2}

Graph

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