integral from 1 to 4 of-x^2+8x

Lösung

\int_{1}^{4} - x^{2} + 8 x d x

39

Schritte zur Lösung

\int_{1}^{4} - x^{2} + 8 x 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_{1}^{4} x^{2} d x + \int_{1}^{4} 8 x d x

\int_{1}^{4} x^{2} d x = 21

\int_{1}^{4} 8 x d x = 60

= - 21 + 60

Vereinfache

= 39

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