integral from 1 to 4 of sqrt(2/x)

Lösung

\int_{1}^{4} \frac{2}{x} d x

22

Dezimale

2.82842 \dots

Schritte zur Lösung

\int_{1}^{4} \frac{2}{x} d x

Wende die partielle Integration an

= [\frac{2}{x} x - \int - \frac{1}{2 x ^{\frac{1}{2}}} d x]_{1}^{4}

\int - \frac{1}{2 x ^{\frac{1}{2}}} d x = - 2 x

= [\frac{2}{x} x - (- 2 x)]_{1}^{4}

Vereinfache

= [\frac{2}{x} x + 2 x]_{1}^{4}

Berechne die Grenzen:

22

= 22

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