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(x)(x^2)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die partielle Integration an

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

\int \frac{x ^{2}}{3} d x = \frac{x ^{3}}{9}

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of sec(2θ)

\int sec (2 θ) d θ

tangent f(x)=4x^2-2x+5

t an g e n t f (x) = 4 x^{2} - 2 x + 5

(sec^{2} (x))^{^{'}}

integral of (-4x^3)

\int (- 4 x^{3}) d x

limit as x approaches 0+of tan^x(9x)

x \to 0 + lim (tan^{x} (9 x))