integral from-3 to 2 of (|x^2-4|)

Lösung

\int_{- 3}^{2} (x^{2} - 4) d x

13

Schritte zur Lösung

\int_{- 3}^{2} x^{2} - 4 d x

Entferne die Extremwerte

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

\int_{- 3}^{- 2} x^{2} - 4 d x = \frac{7}{3}

\int_{- 2}^{2} - x^{2} + 4 d x = \frac{32}{3}

= \frac{7}{3} + \frac{32}{3}

Vereinfache

\frac{7}{3} + \frac{32}{3} : 13

= 13

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