de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of 3xln(x)

Lösung

\int 3 x ln (x) d x

Lösung

3 (\frac{1}{2} x^{2} ln (x) - \frac{x ^{2}}{4}) + C

Schritte zur Lösung

\int 3 x ln (x) d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 3 \cdot \int x ln (x) d x

Wende die partielle Integration an

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

\int \frac{x}{2} d x = \frac{x ^{2}}{4}

= 3 (\frac{1}{2} x^{2} ln (x) - \frac{x ^{2}}{4})

Füge eine Konstante zur Lösung hinzu

= 3 (\frac{1}{2} x^{2} ln (x) - \frac{x ^{2}}{4}) + C

Graph

Beliebte Beispiele

derivative of 7cos(2x)

\frac{d}{d x} (7 cos (2 x))

derivative 10^x

d er i v a t i v e 1 0^{x}

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

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

integral from 0 to 1 of (x^{10}+10^x)

\int_{0}^{1} (x^{10} + 1 0^{x}) d x

y'-2/t y=t^2e^t

y^{'} - \frac{2}{t} y = t^{2} e^{t}