de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from e to e^2 of 1/(xln(x))

Lösung

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

Lösung

ln (2)

+1

Dezimale

0.69314 \dots

Schritte zur Lösung

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

Wende U-Substitution an

= \int_{1}^{2} \frac{1}{u} d u

Nutze das gemeinsame Integral :

\int \frac{1}{u} d u = ln (∣ u ∣)

= [ln ∣ u ∣]_{1}^{2}

Berechne die Grenzen:

ln (2)

= ln (2)

Graph

Beliebte Beispiele

derivative of (40/(1+79e^{-x)})

\frac{d}{d x} (\frac{40}{1 + 79 e ^{- x}})

derivative of x/(sqrt(x-7))

\frac{d}{d x} (\frac{x}{x - 7})

integral of (2x-1)/(4x^2-1)

\int \frac{2 x - 1}{4 x ^{2} - 1} d x

(\partial)/(\partial y)(5xy^2)

\frac{\partial}{\partial y} (5 x y^{2})

integral of (35)/(1-cos(5x))

\int \frac{35}{1 - cos ( 5 x )} d x