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Beliebt Rechnen >

integral from 0 to 13/12 of 68/3 x

Lösung

\int_{0}^{\frac{13}{12}} \frac{68}{3} x d x

Lösung

\frac{2873}{216}

+1

Dezimale

13.30092 \dots

Schritte zur Lösung

\int_{0}^{\frac{13}{12}} \frac{68}{3} x d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{68}{3} \cdot \int_{0}^{\frac{13}{12}} x d x

Wende die Potenzregel an

= \frac{68}{3} [\frac{x ^{2}}{2}]_{0}^{\frac{13}{12}}

Berechne die Grenzen:

\frac{169}{288}

= \frac{68}{3} \cdot \frac{169}{288}

Vereinfache

= \frac{2873}{216}

Graph

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