integral from 2 to 8 of x^2-2x-15

Lösung

\int_{2}^{8} x^{2} - 2 x - 15 d x

18

Schritte zur Lösung

\int_{2}^{8} x^{2} - 2 x - 15 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_{2}^{8} x^{2} d x - \int_{2}^{8} 2 x d x - \int_{2}^{8} 15 d x

\int_{2}^{8} x^{2} d x = 168

\int_{2}^{8} 2 x d x = 60

\int_{2}^{8} 15 d x = 90

= 168 - 60 - 90

Vereinfache

= 18

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