integral of ((ln(ln(x))))/x

Lösung

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

ln (x) ln (ln (x)) - ln (x) + C

Schritte zur Lösung

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

Wende U-Substitution an

= \int ln (u) d u

Wende die partielle Integration an

= u ln (u) - \int 1 d u

\int 1 d u = u

= u ln (u) - u

Setze in

u = ln (x)

ein

= ln (x) ln (ln (x)) - ln (x)

Füge eine Konstante zur Lösung hinzu

= ln (x) ln (ln (x)) - ln (x) + C

\frac{\partial}{\partial y} (y e^{- x})

x \to - 2 lim (x^{2} + 5 x + 7)

t a y l or \frac{1}{x ^{2}}, 5

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

t an g e n t f (x) = \frac{1}{x}, at x = 0.204