integral of (sqrt(1+ln(x)))/x

Lösung

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

\frac{2}{3} (1 + ln (x))^{\frac{3}{2}} + C

Schritte zur Lösung

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

Wende U-Substitution an

= \int u d u

Wende die Potenzregel an

= \frac{2}{3} u^{\frac{3}{2}}

Setze in

u = 1 + ln (x)

ein

= \frac{2}{3} (1 + ln (x))^{\frac{3}{2}}

Füge eine Konstante zur Lösung hinzu

= \frac{2}{3} (1 + ln (x))^{\frac{3}{2}} + C

l a pl a ce t r an s f or m 3 t^{2} + 25

x \to - 4 - lim (\frac{1}{x ^{2} - 16})

\frac{\partial}{\partial x} (1 + x^{2} + y^{2})

\frac{d}{d x} (e^{- \frac{x}{t}})

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