de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from 0 to 1 of 4ln(3x)

Lösung

\int_{0}^{1} 4 ln (3 x) d x

Lösung

4 (ln (3) - 1)

+1

Dezimale

0.39444 \dots

Schritte zur Lösung

\int_{0}^{1} 4 ln (3 x) d x

Entferne die Konstante:

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

= 4 \cdot \int_{0}^{1} ln (3 x) d x

Wende die partielle Integration an

= 4 [x ln (3 x) - \int 1 d x]_{0}^{1}

\int 1 d x = x

= 4 [x ln (3 x) - x]_{0}^{1}

Berechne die Grenzen:

ln (3) - 1

= 4 (ln (3) - 1)

Graph

Beliebte Beispiele

integral of te^{5t}

\int t e^{5 t} d t

limit as x approaches 2 of 1/2 x^2+2

x \to 2 lim (\frac{1}{2} x^{2} + 2)

integral of (9x^2-5x+3)

\int (9 x^{2} - 5 x + 3) d x

limit as x approaches 2 of (x-2)^{x-2}

x \to 2 lim ((x - 2)^{x - 2})

derivative of (1/(2x+3)^3)

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