integral from 0 to 2 of 2sqrt(x)

Lösung

\int_{0}^{2} 2 x d x

\frac{8 2}{3}

Dezimale

3.77123 \dots

Schritte zur Lösung

\int_{0}^{2} 2 x d x

Entferne die Konstante:

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

= 2 \cdot \int_{0}^{2} x d x

Wende die Potenzregel an

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

Berechne die Grenzen:

\frac{4 2}{3}

= 2 \cdot \frac{4 2}{3}

Vereinfache

= \frac{8 2}{3}

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