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

Lösung

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

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

Schritte zur Lösung

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

Wende U-Substitution an

= \int \frac{ln ( ln ( u ) )}{u} d u

Wende U-Substitution an

= \int ln (v) d v

Wende die partielle Integration an

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

\int 1 d v = v

= v ln (v) - v

Ersetze zurück

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

Füge eine Konstante zur Lösung hinzu

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

\int x^{5} 3 x^{2} + 1 d x

\int \frac{10 x}{( 5 x ^{2} - 2 ) ^{4}} d x

\int 3 - 4 x d x

\int x 0.04 x^{\frac{3}{4}} + 4 d x

in t e g r a l \frac{3}{2} x