de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

x + ln^{2} (x) + C

Schritte zur Lösung

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

Multipliziere aus

\frac{x + ln ( x ^{2} )}{x} : 1 + \frac{ln ( x ^{2} )}{x}

= \int 1 + \frac{ln ( x ^{2} )}{x} d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 1 d x + \int \frac{ln ( x ^{2} )}{x} d x

\int 1 d x = x

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

= x + ln^{2} (x)

Füge eine Konstante zur Lösung hinzu

= x + ln^{2} (x) + C

Graph

Beliebte Beispiele

integral of 1/((\sqrt[3]{x))}

\int \frac{1}{( 3 x )} d x

integral of (10)/(xln(x))

\int \frac{10}{x ln ( x )} d x

integral of 2xln(x-1)

\int 2 x ln (x - 1) d x

integral of (20)/(sqrt(1-x^2))

\int \frac{20}{1 - x ^{2}} d x

integral of (11^x)

\int (1 1^{x}) d x