integral from 1 to 6 of 2x^{-4}

Lösung

\int_{1}^{6} 2 x^{- 4} d x

\frac{215}{324}

Dezimale

0.66358 \dots

Schritte zur Lösung

\int_{1}^{6} 2 x^{- 4} d x

Entferne die Konstante:

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

= 2 \cdot \int_{1}^{6} x^{- 4} d x

Wende die Potenzregel an

= 2 [- \frac{1}{3 x ^{3}}]_{1}^{6}

Berechne die Grenzen:

\frac{215}{648}

= 2 \cdot \frac{215}{648}

Vereinfache

= \frac{215}{324}

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