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Beliebt Rechnen >

integral of ln(ln(x))

Lösung

\int ln (ln (x)) d x

Lösung

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

Schritte zur Lösung

\int ln (ln (x)) d x

Wende die partielle Integration an

= x ln (ln (x)) - \int \frac{1}{ln ( x )} d x

\int \frac{1}{ln ( x )} d x = Ei (ln (x))

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

Füge eine Konstante zur Lösung hinzu

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

Beliebte Beispiele

derivative of cot(x+tan(x))

\frac{d}{d x} (cot (x) + tan (x))

tangent f(x)=x^2,(1,1)

t an g e n t f (x) = x^{2}, (1, 1)

integral of x^{(-7)/3}

\int x^{\frac{- 7}{3}} d x

derivative of (x^2+x+1/(x^2+3))

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

steigung (15,250),(25,28)

s l o p e (15, 250), (25, 28)