integral from 0 to 6 of (6x^2-1)

Lösung

\int_{0}^{6} (6 x^{2} - 1) d x

426

Schritte zur Lösung

\int_{0}^{6} 6 x^{2} - 1 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} 6 x^{2} d x - \int_{0}^{6} 1 d x

\int_{0}^{6} 6 x^{2} d x = 432

\int_{0}^{6} 1 d x = 6

= 432 - 6

Vereinfache

= 426

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