integral from 0 to 6 of x^2-3x

Lösung

\int_{0}^{6} x^{2} - 3 x d x

18

Schritte zur Lösung

\int_{0}^{6} x^{2} - 3 x 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}^{6} x^{2} d x - \int_{0}^{6} 3 x d x

\int_{0}^{6} x^{2} d x = 72

\int_{0}^{6} 3 x d x = 54

= 72 - 54

Vereinfache

= 18

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