integral from 0 to 12 of 144-x^2

Lösung

\int_{0}^{12} 144 - x^{2} d x

1152

Schritte zur Lösung

\int_{0}^{12} 144 - 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_{0}^{12} 144 d x - \int_{0}^{12} x^{2} d x

\int_{0}^{12} 144 d x = 1728

\int_{0}^{12} x^{2} d x = 576

= 1728 - 576

Vereinfache

= 1152

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