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 7 of 16xln(3x)

Lösung

\int_{\frac{1}{3}}^{7} 16 x ln (3 x) d x

Lösung

16 (- \frac{110}{9} + \frac{49}{2} ln (21))

+1

Dezimale

997.89724 \dots

Schritte zur Lösung

\int_{\frac{1}{3}}^{7} 16 x ln (3 x) d x

Entferne die Konstante:

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

= 16 \cdot \int_{\frac{1}{3}}^{7} x ln (3 x) d x

Wende die partielle Integration an

= 16 [\frac{1}{2} x^{2} ln (3 x) - \int \frac{x}{2} d x]_{\frac{1}{3}}^{7}

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

= 16 [\frac{1}{2} x^{2} ln (3 x) - \frac{x ^{2}}{4}]_{\frac{1}{3}}^{7}

Berechne die Grenzen:

- \frac{110}{9} + \frac{49}{2} ln (21)

= 16 (- \frac{110}{9} + \frac{49}{2} ln (21))

Graph

Beliebte Beispiele

(\partial)/(\partial x)(arcsin(-2x^4))

\frac{\partial}{\partial x} (arcsin (- 2 x^{4}))

limit as n approaches 0 of (sin(n))/n

n \to 0 lim (\frac{sin ( n )}{n})

(dy)/(dx)= y/x+(y^2)/(x^2)

\frac{d y}{d x} = \frac{y}{x} + \frac{y ^{2}}{x ^{2}}

integral of (4x+3)cos(x)

\int (4 x + 3) cos (x) d x

y^{''}+3y^'+2=0

y^{^{''}} + 3 y^{^{'}} + 2 = 0