integral from-2 to 5 of (|9-x^2|-x^2)

Lösung

\int_{- 2}^{5} (9 - x^{2} - x^{2}) d x

\frac{11}{3}

Dezimale

3.66666 \dots

Schritte zur Lösung

\int_{- 2}^{5} 9 - x^{2} - x^{2} d x

Entferne die Extremwerte

= \int_{- 2}^{3} 9 - x^{2} - x^{2} d x + \int_{3}^{5} - 9 + x^{2} - x^{2} d x

\int_{- 2}^{3} 9 - x^{2} - x^{2} d x = \frac{65}{3}

\int_{3}^{5} - 9 + x^{2} - x^{2} d x = - 18

= \frac{65}{3} - 18

Vereinfache

\frac{65}{3} - 18 : \frac{11}{3}

= \frac{11}{3}

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