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Beliebt Rechnen >

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

Lösung

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

Lösung

8 - 2 π

+1

Dezimale

1.71681 \dots

Schritte zur Lösung

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

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

\int_{- 2}^{2} 4 - x^{2} d x = 2 π

= 8 - 2 π

Graph

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