integral from 0 to 1 of xy^2

Lösung

\int_{0}^{1} x y^{2} d x

\frac{y ^{2}}{2}

Schritte zur Lösung

\int_{0}^{1} x y^{2} d x

Entferne die Konstante:

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

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

Wende die Potenzregel an

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

Berechne die Grenzen:

\frac{1}{2}

= y^{2} \frac{1}{2}

Vereinfache

= \frac{y ^{2}}{2}

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