integral from 8 to 100 of 2x^{-3}

Lösung

\int_{8}^{100} 2 x^{- 3} d x

\frac{621}{40000}

Dezimale

0.015525

Schritte zur Lösung

\int_{8}^{100} 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_{8}^{100} x^{- 3} d x

Wende die Potenzregel an

= 2 [- \frac{1}{2 x ^{2}}]_{8}^{100}

Berechne die Grenzen:

\frac{621}{80000}

= 2 \cdot \frac{621}{80000}

Vereinfache

= \frac{621}{40000}

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