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Beliebt Rechnen >

integral from 1 to 9 of 2/(x^3)

Lösung

\int_{1}^{9} \frac{2}{x ^{3}} d x

Lösung

\frac{80}{81}

+1

Dezimale

0.98765 \dots

Schritte zur Lösung

\int_{1}^{9} \frac{2}{x ^{3}} d x

Entferne die Konstante:

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

= 2 \cdot \int_{1}^{9} \frac{1}{x ^{3}} d x

Wende die Potenzregel an

= 2 [- \frac{1}{2 x ^{2}}]_{1}^{9}

Berechne die Grenzen:

\frac{40}{81}

= 2 \cdot \frac{40}{81}

Vereinfache

= \frac{80}{81}

Graph

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