integral from 1 to 10 of (21)/(x^3)

Lösung

\int_{1}^{10} \frac{21}{x ^{3}} d x

\frac{2079}{200}

Dezimale

10.395

Schritte zur Lösung

\int_{1}^{10} \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}^{10} \frac{1}{x ^{3}} d x

Wende die Potenzregel an

= 21 [- \frac{1}{2 x ^{2}}]_{1}^{10}

Berechne die Grenzen:

\frac{99}{200}

= 21 \cdot \frac{99}{200}

Vereinfache

= \frac{2079}{200}

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