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Beliebt Rechnen >

integral from 0 to 0.5 of x(4-8x)

Lösung

\int_{0}^{0.5} x (4 - 8 x) d x

Lösung

0.16666 \dots

Schritte zur Lösung

\int_{0}^{0.5} x (4 - 8 x) d x

Multipliziere aus

x (4 - 8 x) : 4 x - 8 x^{2}

= \int_{0}^{0.5} 4 x - 8 x^{2} 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}^{0.5} 4 x d x - \int_{0}^{0.5} 8 x^{2} d x

\int_{0}^{0.5} 4 x d x = 0.5

\int_{0}^{0.5} 8 x^{2} d x = 0.33333 \dots

= 0.5 - 0.33333 \dots

Vereinfache

= 0.16666 \dots

Graph

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