de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from 1 to 2 of (2x+1)ln(x)

Lösung

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

Lösung

6 ln (2) - \frac{5}{2}

+1

Dezimale

1.65888 \dots

Schritte zur Lösung

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

Wende die partielle Integration an

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

\int x + 1 d x = \frac{x ^{2}}{2} + x

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

Multipliziere aus

ln (x) (x^{2} + x) - (\frac{x ^{2}}{2} + x) : x^{2} ln (x) + x ln (x) - \frac{x ^{2}}{2} - x

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

Berechne die Grenzen:

6 ln (2) - \frac{5}{2}

= 6 ln (2) - \frac{5}{2}

Graph

Beliebte Beispiele

integral of (x^2+1)/(x^3+3x-16)

\int \frac{x ^{2} + 1}{x ^{3} + 3 x - 16} d x

integral of sqrt(e^{2t)+e^{-2t}+2}

\int e^{2 t} + e^{- 2 t} + 2 d t

integral of xln(x^2+1)

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

inverselaplace 1/(s^2(s+1.1))

in v erse l a pl a ce \frac{1}{s ^{2} ( s + 1.1 )}

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

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