integral from-1 to 1 of |5x-3|

Lösung

\int_{- 1}^{1} ∣ 5 x - 3 ∣ d x

\frac{34}{5}

Dezimale

6.8

Schritte zur Lösung

\int_{- 1}^{1} ∣ 5 x - 3 ∣ d x

Entferne die Extremwerte

= \int_{- 1}^{\frac{3}{5}} - 5 x + 3 d x + \int_{\frac{3}{5}}^{1} 5 x - 3 d x

\int_{- 1}^{\frac{3}{5}} - 5 x + 3 d x = \frac{32}{5}

\int_{\frac{3}{5}}^{1} 5 x - 3 d x = \frac{2}{5}

= \frac{32}{5} + \frac{2}{5}

Vereinfache

\frac{32}{5} + \frac{2}{5} : \frac{34}{5}

= \frac{34}{5}

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