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Beliebt Rechnen >

integral from 0 to 1 of sqrt(1/x)

Lösung

\int_{0}^{1} \frac{1}{x} d x

Lösung

2

Schritte zur Lösung

\int_{0}^{1} \frac{1}{x} d x

Vereinfache

\frac{1}{x} : \frac{1}{x}

= \int_{0}^{1} \frac{1}{x} d x

Vereinfache

= \int_{0}^{1} \frac{1}{x} d x

Wende die Potenzregel an

= [2 x^{\frac{1}{2}}]_{0}^{1}

Wende Radikal Regel an:

= [2 x]_{0}^{1}

Berechne die Grenzen:

2

= 2

Graph

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