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Beliebt Rechnen >

integral from 1 to 6 of 5/(x^2)

Lösung

\int_{1}^{6} \frac{5}{x ^{2}} d x

Lösung

\frac{25}{6}

+1

Dezimale

4.16666 \dots

Schritte zur Lösung

\int_{1}^{6} \frac{5}{x ^{2}} d x

Entferne die Konstante:

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

= 5 \cdot \int_{1}^{6} \frac{1}{x ^{2}} d x

Wende die Potenzregel an

= 5 [- \frac{1}{x}]_{1}^{6}

Berechne die Grenzen:

\frac{5}{6}

= 5 \cdot \frac{5}{6}

Vereinfache

= \frac{25}{6}

Graph

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