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Beliebt Rechnen >

integral from-7 to 7 of 49-x^2

Lösung

\int_{- 7}^{7} 49 - x^{2} d x

Lösung

\frac{1372}{3}

+1

Dezimale

457.33333 \dots

Schritte zur Lösung

\int_{- 7}^{7} 49 - 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_{- 7}^{7} 49 d x - \int_{- 7}^{7} x^{2} d x

\int_{- 7}^{7} 49 d x = 686

\int_{- 7}^{7} x^{2} d x = \frac{686}{3}

= 686 - \frac{686}{3}

Vereinfache

686 - \frac{686}{3} : \frac{1372}{3}

= \frac{1372}{3}

Graph

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