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Beliebt Rechnen >

integral from 0 to e of ln(x)

Lösung

\int_{0}^{e} ln (x) d x

Lösung

0

Schritte zur Lösung

\int_{0}^{e} ln (x) d x

Wende die partielle Integration an

= [x ln (x) - \int 1 d x]_{0}^{e}

\int 1 d x = x

= [x ln (x) - x]_{0}^{e}

Berechne die Grenzen:

0

= 0

Graph

Beliebte Beispiele

integral of (1+e)^x

\int (1 + e)^{x} d x

(dy)/(dx)=(y^3)/(x^2)

\frac{d y}{d x} = \frac{y ^{3}}{x ^{2}}

integral of x^3(1-x^4)^5

\int x^{3} (1 - x^{4})^{5} d x

integral of (7/(sqrt(1-x^2)))

\int (\frac{7}{1 - x ^{2}}) d x

integral of (1/(1+x^2))^2

\int (\frac{1}{1 + x ^{2}})^{2} d x