de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of ln^2(x)x^2

Lösung

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

Lösung

\frac{1}{3} x^{3} ln^{2} (x) - \frac{2}{3} (\frac{1}{3} x^{3} ln (x) - \frac{x ^{3}}{9}) + C

Schritte zur Lösung

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

Wende die partielle Integration an

= \frac{1}{3} x^{3} ln^{2} (x) - \int \frac{2}{3} x^{2} ln (x) d x

\int \frac{2}{3} x^{2} ln (x) d x = \frac{2}{3} (\frac{1}{3} x^{3} ln (x) - \frac{x ^{3}}{9})

= \frac{1}{3} x^{3} ln^{2} (x) - \frac{2}{3} (\frac{1}{3} x^{3} ln (x) - \frac{x ^{3}}{9})

Füge eine Konstante zur Lösung hinzu

= \frac{1}{3} x^{3} ln^{2} (x) - \frac{2}{3} (\frac{1}{3} x^{3} ln (x) - \frac{x ^{3}}{9}) + C

Graph

Beliebte Beispiele

integral of 1/(2x^2-8x+10)

integral of e^{-sx}sin(2x)

integral of (x^2+x+1)*e^{3x}

integral of (3x-1)/(2x^2+8)

integral of (e^{2/t})/(t^2)