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Beliebt Rechnen >

integral from 2 to 4 of-6/(x^2)

Lösung

\int_{2}^{4} - \frac{6}{x ^{2}} d x

Lösung

- \frac{3}{2}

+1

Dezimale

- 1.5

Schritte zur Lösung

\int_{2}^{4} - \frac{6}{x ^{2}} d x

Entferne die Konstante:

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

= - 6 \cdot \int_{2}^{4} \frac{1}{x ^{2}} d x

Wende die Potenzregel an

= - 6 [- \frac{1}{x}]_{2}^{4}

Berechne die Grenzen:

\frac{1}{4}

= - 6 \cdot \frac{1}{4}

Vereinfache

= - \frac{3}{2}

Graph

Beliebte Beispiele

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