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Beliebt Rechnen >

integral from-4 to 4 of (16-x^2)

Lösung

\int_{- 4}^{4} (16 - x^{2}) d x

Lösung

\frac{256}{3}

+1

Dezimale

85.33333 \dots

Schritte zur Lösung

\int_{- 4}^{4} 16 - 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_{- 4}^{4} 16 d x - \int_{- 4}^{4} x^{2} d x

\int_{- 4}^{4} 16 d x = 128

\int_{- 4}^{4} x^{2} d x = \frac{128}{3}

= 128 - \frac{128}{3}

Vereinfache

128 - \frac{128}{3} : \frac{256}{3}

= \frac{256}{3}

Graph

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