de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of (ln(4x))/(x^3)

Lösung

\int \frac{ln ( 4 x )}{x ^{3}} d x

Lösung

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

Schritte zur Lösung

\int \frac{ln ( 4 x )}{x ^{3}} d x

Wende die partielle Integration an

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

\int - \frac{1}{2 x ^{3}} d x = \frac{1}{4 x ^{2}}

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

f(x)=((x^2+9))/((x^2-9))

f (x) = \frac{( x ^{2} + 9 )}{( x ^{2} - 9 )}

fläche 6+x-x^2,4

a re a 6 + x - x^{2}, 4

integral of ((x^2))/(sqrt(4-x^2))

\int \frac{( x ^{2} )}{4 - x ^{2}} d x

integral of 5/((x-2)(x^2-1))

\int \frac{5}{( x - 2 ) ( x ^{2} - 1 )} d x

integral of (e^{x^{1/2}})/(x^{1/2)}

\int \frac{e ^{x^{\frac{1}{2}}}}{x ^{\frac{1}{2}}} d x