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Beliebt Rechnen >

integral from 0 to 1 of x-sqrt(x)

Lösung

\int_{0}^{1} x - x d x

Lösung

- \frac{1}{6}

+1

Dezimale

- 0.16666 \dots

Schritte zur Lösung

\int_{0}^{1} x - 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}^{1} x d x - \int_{0}^{1} x d x

\int_{0}^{1} x d x = \frac{1}{2}

\int_{0}^{1} x d x = \frac{2}{3}

= \frac{1}{2} - \frac{2}{3}

Vereinfache

\frac{1}{2} - \frac{2}{3} : - \frac{1}{6}

= - \frac{1}{6}

Graph

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