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Beliebt Rechnen >

integral from 1 to 1000 of (25)/(x^3)

Lösung

\int_{1}^{1000} \frac{25}{x ^{3}} d x

Lösung

\frac{999999}{80000}

+1

Dezimale

12.4999875

Schritte zur Lösung

\int_{1}^{1000} \frac{25}{x ^{3}} d x

Entferne die Konstante:

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

= 25 \cdot \int_{1}^{1000} \frac{1}{x ^{3}} d x

Wende die Potenzregel an

= 25 [- \frac{1}{2 x ^{2}}]_{1}^{1000}

Berechne die Grenzen:

\frac{999999}{2000000}

= 25 \cdot \frac{999999}{2000000}

Vereinfache

= \frac{999999}{80000}

Graph

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