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Beliebt Rechnen >

integral from 1 to 100 of (21)/(x^3)

Lösung

\int_{1}^{100} \frac{21}{x ^{3}} d x

Lösung

\frac{209979}{20000}

+1

Dezimale

10.49895

Schritte zur Lösung

\int_{1}^{100} \frac{21}{x ^{3}} d x

Entferne die Konstante:

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

= 21 \cdot \int_{1}^{100} \frac{1}{x ^{3}} d x

Wende die Potenzregel an

= 21 [- \frac{1}{2 x ^{2}}]_{1}^{100}

Berechne die Grenzen:

\frac{9999}{20000}

= 21 \cdot \frac{9999}{20000}

Vereinfache

= \frac{209979}{20000}

Graph

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