integral from 1 to 11 of 6x^{-2}

Lösung

\int_{1}^{11} 6 x^{- 2} d x

\frac{60}{11}

Dezimale

5.45454 \dots

Schritte zur Lösung

\int_{1}^{11} 6 x^{- 2} d x

Entferne die Konstante:

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

= 6 \cdot \int_{1}^{11} x^{- 2} d x

Wende die Potenzregel an

= 6 [- \frac{1}{x}]_{1}^{11}

Berechne die Grenzen:

\frac{10}{11}

= 6 \cdot \frac{10}{11}

Vereinfache

= \frac{60}{11}

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