integral from 0 to 1 of (5-6x^2)

Lösung

\int_{0}^{1} (5 - 6 x^{2}) d x

3

Schritte zur Lösung

\int_{0}^{1} 5 - 6 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}^{1} 5 d x - \int_{0}^{1} 6 x^{2} d x

\int_{0}^{1} 5 d x = 5

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

= 5 - 2

Vereinfache

= 3

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