integral from 1 to 4 of 5x

Lösung

\int_{1}^{4} 5 x d x

\frac{75}{2}

Dezimale

37.5

Schritte zur Lösung

\int_{1}^{4} 5 x d x

Entferne die Konstante:

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

= 5 \cdot \int_{1}^{4} x d x

Wende die Potenzregel an

= 5 [\frac{x ^{2}}{2}]_{1}^{4}

Berechne die Grenzen:

\frac{15}{2}

= 5 \cdot \frac{15}{2}

Vereinfache

= \frac{75}{2}

\int_{0}^{\frac{1}{4}} x ln (x + 1) d x

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