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

Lösung

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

2

Schritte zur Lösung

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

Entferne die Extremwerte

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

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

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

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

Vereinfache

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

= 2

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