integral from-2 to 1*5 of |x^2-1|

Lösung

\int_{- 2}^{1 \cdot 5} x^{2} - 1 d x

40

Schritte zur Lösung

\int_{- 2}^{1 \cdot 5} x^{2} - 1 d x

Entferne die Extremwerte

= \int_{- 2}^{- 1} x^{2} - 1 d x + \int_{- 1}^{1} - x^{2} + 1 d x + \int_{1}^{1 \cdot 5} x^{2} - 1 d x

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

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

\int_{1}^{1 \cdot 5} x^{2} - 1 d x = \frac{112}{3}

= \frac{4}{3} + \frac{4}{3} + \frac{112}{3}

Vereinfache

\frac{4}{3} + \frac{4}{3} + \frac{112}{3} : 40

= 40

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