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Beliebt Rechnen >

integral from-1 to 0 of sqrt(3u+4)

Lösung

\int_{- 1}^{0} 3 u + 4 d u

Lösung

\frac{14}{9}

+1

Dezimale

1.55555 \dots

Schritte zur Lösung

\int_{- 1}^{0} 3 u + 4 d u

Wende U-Substitution an

= \int_{1}^{4} \frac{v}{3} d v

Entferne die Konstante:

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

= \frac{1}{3} \cdot \int_{1}^{4} v d v

Wende die Potenzregel an

= \frac{1}{3} [\frac{2}{3} v^{\frac{3}{2}}]_{1}^{4}

Berechne die Grenzen:

\frac{14}{3}

= \frac{1}{3} \cdot \frac{14}{3}

Vereinfache

= \frac{14}{9}

Graph

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