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(x+sqrt(x^2+a^2))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die partielle Integration an

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

\int \frac{x}{x ^{2} + a ^{2}} d x = x^{2} + a^{2}

= x ln (x + x^{2} + a^{2}) - x^{2} + a^{2}

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of 4xsin(x)

\int 4 x sin (x) d x

derivative 3sqrt(x)+5

d er i v a t i v e 3 x + 5

limit as x approaches 0 of sqrt(1+2x)-\sqrt[3]{1-3x}

x \to 0 lim (1 + 2 x - 3 1 - 3 x)

d er i v a t i v e \frac{1}{u}

derivative f(x)=-(2e^{2x})/((e^{2x)-1)^2}

d er i v a t i v e f (x) = - \frac{2 e ^{2 x}}{( e ^{2 x} - 1 ) ^{2}}