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Beliebt Rechnen >

integral from 1 to 10 of sqrt(5x-1)

Lösung

\int_{1}^{10} 5 x - 1 d x

Lösung

\frac{134}{3}

+1

Dezimale

44.66666 \dots

Schritte zur Lösung

\int_{1}^{10} 5 x - 1 d x

Wende U-Substitution an

= \int_{4}^{49} \frac{u}{5} d u

Entferne die Konstante:

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

= \frac{1}{5} \cdot \int_{4}^{49} u d u

Wende die Potenzregel an

= \frac{1}{5} [\frac{2}{3} u^{\frac{3}{2}}]_{4}^{49}

Berechne die Grenzen:

\frac{670}{3}

= \frac{1}{5} \cdot \frac{670}{3}

Vereinfache

= \frac{134}{3}

Graph

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