integral from 0 to 2 of |x^2-1|

Lösung

\int_{0}^{2} x^{2} - 1 d x

2

Schritte zur Lösung

\int_{0}^{2} x^{2} - 1 d x

Entferne die Extremwerte

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

\int_{0}^{1} - x^{2} + 1 d x = \frac{2}{3}

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

= \frac{2}{3} + \frac{4}{3}

Vereinfache

\frac{2}{3} + \frac{4}{3} : 2

= 2

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