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Beliebt Rechnen >

integral from-9 to 9 of 81-x^2

Lösung

\int_{- 9}^{9} 81 - x^{2} d x

Lösung

972

Schritte zur Lösung

\int_{- 9}^{9} 81 - 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_{- 9}^{9} 81 d x - \int_{- 9}^{9} x^{2} d x

\int_{- 9}^{9} 81 d x = 1458

\int_{- 9}^{9} x^{2} d x = 486

= 1458 - 486

Vereinfache

= 972

Graph

Beliebte Beispiele

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integral from 1 to 2 of (3x-2)^2

\int_{1}^{2} (3 x - 2)^{2} d x

xy^'+y=-9xy^2,y(1)=-4

x y^{^{'}} + y = - 9 x y^{2}, y (1) = - 4