integral from 1 to 2 of 1/(xsqrt(ln(x)))

Lösung

\int_{1}^{2} \frac{1}{x ln ( x )} d x

2 ln (2)

Dezimale

1.66510 \dots

Schritte zur Lösung

\int_{1}^{2} \frac{1}{x ln ( x )} d x

Wende U-Substitution an

= \int_{0}^{l n (2)} \frac{1}{u} d u

Wende die Potenzregel an

= [2 u^{\frac{1}{2}}]_{0}^{l n (2)}

Wende Radikal Regel an:

a^{\frac{1}{n}} = n a

= [2 u]_{0}^{l n (2)}

Berechne die Grenzen:

2 ln (2)

= 2 ln (2)

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