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Beliebt Rechnen >

integral from 1 to e^2 of ln(x)

Lösung

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

Lösung

e^{2} + 1

+1

Dezimale

8.38905 \dots

Schritte zur Lösung

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

Wende die partielle Integration an

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

\int 1 d x = x

= [x ln (x) - x]_{1}^{e^{2}}

Berechne die Grenzen:

e^{2} + 1

= e^{2} + 1

Graph

Beliebte Beispiele

y^{''}+14y^'+58y=0

y^{^{''}} + 14 y^{^{'}} + 58 y = 0

derivative 1/(2sqrt(x))+1/(7x^{6/7)}

d er i v a t i v e \frac{1}{2 x} + \frac{1}{7 x ^{\frac{6}{7}}}

integral of 2(x-2)*ln(x-2)

\int 2 (x - 2) \cdot ln (x - 2) d x

integral of 1/(4-6x)

\int \frac{1}{4 - 6 x} d x

d x + d y + x d y = y d x