integral from 0 to 4 of (5x-3sqrt(x))

Lösung

\int_{0}^{4} (5 x - 3 x) d x

24

Schritte zur Lösung

\int_{0}^{4} 5 x - 3 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_{0}^{4} 5 x d x - \int_{0}^{4} 3 x d x

\int_{0}^{4} 5 x d x = 40

\int_{0}^{4} 3 x d x = 16

= 40 - 16

Vereinfache

= 24

\int_{1}^{6} t^{2} - 2 t - 8 d t

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