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 4 of 3/(2x)

Lösung

\int_{1}^{4} \frac{3}{2 x} d x

Lösung

3 ln (2)

+1

Dezimale

2.07944 \dots

Schritte zur Lösung

\int_{1}^{4} \frac{3}{2 x} d x

Entferne die Konstante:

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

= \frac{3}{2} \cdot \int_{1}^{4} \frac{1}{x} d x

Nutze das gemeinsame Integral :

\int \frac{1}{x} d x = ln (∣ x ∣)

= \frac{3}{2} [ln ∣ x ∣]_{1}^{4}

Berechne die Grenzen:

2 ln (2)

= \frac{3}{2} \cdot 2 ln (2)

Vereinfache

= 3 ln (2)

Graph

Beliebte Beispiele

integral from 1 to 3 of x^2+1/(x^2)

\int_{1}^{3} x^{2} + \frac{1}{x ^{2}} d x

integral from pi/2 to sqrt(x of)sin(15t)

\int_{\frac{π}{2}}^{x} sin (15 t) d t

integral from 0 to 8 of x/8

\int_{0}^{8} \frac{x}{8} d x

integral from 1 to 2 of 5/t

\int_{1}^{2} \frac{5}{t} d t

integral from-1 to 2 of [x]

\int_{- 1}^{2} [x] d x