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Beliebt Rechnen >

integral from 1 to e of ln(11x)

Lösung

\int_{1}^{e} ln (11 x) d x

Lösung

e ln (11 e) - e - ln (11) + 1

+1

Dezimale

5.12025 \dots

Schritte zur Lösung

\int_{1}^{e} ln (11 x) d x

Wende die partielle Integration an

= [x ln (11 x) - \int 1 d x]_{1}^{e}

\int 1 d x = x

= [x ln (11 x) - x]_{1}^{e}

Berechne die Grenzen:

e ln (11 e) - e - ln (11) + 1

= e ln (11 e) - e - ln (11) + 1

Graph

Beliebte Beispiele

integral of 5^{x^2}

\int 5^{x^{2}} d x

integral of x/(sqrt(36-x^2))

\int \frac{x}{36 - x ^{2}} d x

integral of (5x^3+5x)/(x-1)

\int \frac{5 x ^{3} + 5 x}{x - 1} d x

y^{^{'}} + y = e^{t} + 11

derivative of 12x^3-36x^2

\frac{d}{d x} (12 x^{3} - 36 x^{2})