integral from 1 to 16 of sqrt(3/x)

Lösung

\int_{1}^{16} \frac{3}{x} d x

63

Dezimale

10.39230 \dots

Schritte zur Lösung

\int_{1}^{16} \frac{3}{x} d x

Wende die partielle Integration an

= [\frac{3}{x} x - \int - \frac{3}{2 x ^{\frac{1}{2}}} d x]_{1}^{16}

\int - \frac{3}{2 x ^{\frac{1}{2}}} d x = - 3 x

= [\frac{3}{x} x - (- 3 x)]_{1}^{16}

Vereinfache

= [\frac{3}{x} x + 3 x]_{1}^{16}

Berechne die Grenzen:

63

= 63

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