de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral from 1/3 to 5 of 14xln(3x)

Lösung

\int_{\frac{1}{3}}^{5} 14 x ln (3 x) d x

Lösung

14 (- \frac{56}{9} + \frac{25}{2} ln (15))

+1

Dezimale

386.79767 \dots

Schritte zur Lösung

\int_{\frac{1}{3}}^{5} 14 x ln (3 x) d x

Entferne die Konstante:

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

= 14 \cdot \int_{\frac{1}{3}}^{5} x ln (3 x) d x

Wende die partielle Integration an

= 14 [\frac{1}{2} x^{2} ln (3 x) - \int \frac{x}{2} d x]_{\frac{1}{3}}^{5}

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

= 14 [\frac{1}{2} x^{2} ln (3 x) - \frac{x ^{2}}{4}]_{\frac{1}{3}}^{5}

Berechne die Grenzen:

- \frac{56}{9} + \frac{25}{2} ln (15)

= 14 (- \frac{56}{9} + \frac{25}{2} ln (15))

Graph

Beliebte Beispiele

inverselaplace ((e^{-s}))/(s^2-6s+9)

in v erse l a pl a ce \frac{( e ^{- s} )}{s ^{2} - 6 s + 9}

y^{^{'}} = \frac{2 y}{t} + t

integral of (1-u)/(1+u)

\int \frac{1 - u}{1 + u} d u

limit as x approaches 0 of 2sin(x)-1

x \to 0 lim (2 sin (x) - 1)

integral of ((ln(x))/(x^2))

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