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

Lösung

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

5

Schritte zur Lösung

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

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

\int_{0}^{1} 6 x^{5} d x = 1

= 6 - 1

Vereinfache

= 5

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