integral from 4 to 8 of (-6x+5)

Lösung

\int_{4}^{8} (- 6 x + 5) d x

- 124

Schritte zur Lösung

\int_{4}^{8} - 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_{4}^{8} 6 x d x + \int_{4}^{8} 5 d x

\int_{4}^{8} 6 x d x = 144

\int_{4}^{8} 5 d x = 20

= - 144 + 20

Vereinfache

= - 124

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