integral from 6 to 100 of 0.5x^{-1.5}

Lösung

\int_{6}^{100} 0.5 x^{- 1.5} d x

0.30824 \dots

Schritte zur Lösung

\int_{6}^{100} 0.5 x^{- 1.5} d x

Entferne die Konstante:

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

= 0.5 \cdot \int_{6}^{100} x^{- 1.5} d x

Wende die Potenzregel an

= 0.5 [- \frac{2}{x}]_{6}^{100}

Berechne die Grenzen:

- \frac{1}{5} + \frac{2}{3}

= 0.5 (- \frac{1}{5} + \frac{2}{3})

Vereinfache

= 0.30824 \dots

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