integral from 1 to 4 of 10sqrt(u)

Lösung

\int_{1}^{4} 10 u d u

\frac{140}{3}

Dezimale

46.66666 \dots

Schritte zur Lösung

\int_{1}^{4} 10 u d u

Entferne die Konstante:

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

= 10 \cdot \int_{1}^{4} u d u

Wende die Potenzregel an

= 10 [\frac{2}{3} u^{\frac{3}{2}}]_{1}^{4}

Berechne die Grenzen:

\frac{14}{3}

= 10 \cdot \frac{14}{3}

Vereinfache

= \frac{140}{3}

\int_{0}^{1} u 1 + u^{2} d u

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