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(a^2+x^2))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die partielle Integration an

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of 3/(x^2+25)

\int \frac{3}{x ^{2} + 25} d x

integral of (3sin(2x))/(sin(x))

\int \frac{3 sin ( 2 x )}{sin ( x )} d x

integral of sqrt(1+5^{2x)}

\int 1 + 5^{2 x} d x

integral of 3/(4x^2+1)

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

integral of (9x-8)/((x-3)(2x-5))

\int \frac{9 x - 8}{( x - 3 ) ( 2 x - 5 )} d x