integral from 1 to 4 of sqrt(ln(x))

Lösung

\int_{1}^{4} ln (x) d x

42 ln (2) - \frac{π}{2} erfi (ln (4))

Schritte zur Lösung

\int_{1}^{4} ln (x) d x

Wende die partielle Integration an

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

\int \frac{1}{2 ln ( x )} d x = \frac{π}{2} erfi (ln (x))

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

Berechne die Grenzen:

42 ln (2) - \frac{π}{2} erfi (ln (4))

= 42 ln (2) - \frac{π}{2} erfi (ln (4))

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