integral from-2 to 1 of x/(|x|)

Lösung

\int_{- 2}^{1} \frac{x}{∣ x ∣} d x

- 1

Schritte zur Lösung

\int_{- 2}^{1} \frac{x}{∣ x ∣} d x

Entferne die Extremwerte

= \int_{- 2}^{0} \frac{x}{- x} d x + \int_{0}^{1} \frac{x}{x} d x

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

\int_{0}^{1} \frac{x}{x} d x = 1

= - 2 + 1

Vereinfache

= - 1

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