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Beliebt Rechnen >

integral from 1 to 8 of sqrt(2/x)

Lösung

\int_{1}^{8} \frac{2}{x} d x

Lösung

8 - 22

+1

Dezimale

5.17157 \dots

Schritte zur Lösung

\int_{1}^{8} \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}^{8}

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

= [\frac{2}{x} x - (- 2 x)]_{1}^{8}

Vereinfache

= [\frac{2}{x} x + 2 x]_{1}^{8}

Berechne die Grenzen:

8 - 22

= 8 - 22

Graph

Beliebte Beispiele

derivative f(x)=-6

d er i v a t i v e f (x) = - 6

limit as x approaches-6 of 1/(x+6)

x \to - 6 lim (\frac{1}{x + 6})

(\partial)/(\partial x)(4x^3y^2+4)

\frac{\partial}{\partial x} (4 x^{3} y^{2} + 4)

f (x) = 3 x^{4}

inverselaplace 8/(s^3(s+2))

in v erse l a pl a ce \frac{8}{s ^{3} ( s + 2 )}