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Beliebt Rechnen >

integral from-8 to 8 of (64-x^2)

Lösung

\int_{- 8}^{8} (64 - x^{2}) d x

Lösung

\frac{2048}{3}

+1

Dezimale

682.66666 \dots

Schritte zur Lösung

\int_{- 8}^{8} 64 - x^{2} d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{- 8}^{8} 64 d x - \int_{- 8}^{8} x^{2} d x

\int_{- 8}^{8} 64 d x = 1024

\int_{- 8}^{8} x^{2} d x = \frac{1024}{3}

= 1024 - \frac{1024}{3}

Vereinfache

1024 - \frac{1024}{3} : \frac{2048}{3}

= \frac{2048}{3}

Graph

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