integral from 0 to 1/2 of 4x

Lösung

\int_{0}^{\frac{1}{2}} 4 x d x

\frac{1}{2}

Dezimale

0.5

Schritte zur Lösung

\int_{0}^{\frac{1}{2}} 4 x d x

Entferne die Konstante:

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

= 4 \cdot \int_{0}^{\frac{1}{2}} x d x

Wende die Potenzregel an

= 4 [\frac{x ^{2}}{2}]_{0}^{\frac{1}{2}}

Berechne die Grenzen:

\frac{1}{8}

= 4 \cdot \frac{1}{8}

Vereinfache

= \frac{1}{2}

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