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

Lösung

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

1

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Potenzregel an

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

Berechne die Grenzen:

\frac{1}{2}

= 2 \cdot \frac{1}{2}

Vereinfache

= 1

\int_{0}^{1} x^{2} (6 x - 6 x^{2}) d x

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