integral from-1 to 3 of |3x-x^2|

Lösung

\int_{- 1}^{3} 3 x - x^{2} d x

\frac{19}{3}

Dezimale

6.33333 \dots

Schritte zur Lösung

\int_{- 1}^{3} 3 x - x^{2} d x

Entferne die Extremwerte

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

\int_{- 1}^{0} - 3 x + x^{2} d x = \frac{11}{6}

\int_{0}^{3} 3 x - x^{2} d x = \frac{9}{2}

= \frac{11}{6} + \frac{9}{2}

Vereinfache

\frac{11}{6} + \frac{9}{2} : \frac{19}{3}

= \frac{19}{3}

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