integral of ln(x)

Lösung

\int ln (x) d x

x ln (x) - x + C

Schritte zur Lösung

\int ln (x) d x

Wende die partielle Integration an

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

\int 1 d x = x

= x ln (x) - x

Füge eine Konstante zur Lösung hinzu

= x ln (x) - x + C

\int \frac{t ^{3} - 8 t + 1}{( 2 t ) ^{4}} d t

d er i v a t i v e y = ln (\frac{3 + e ^{x}}{3 - e ^{x}})

t an g e n t f (x) = (ln (x))^{3}, at x = 9

x \to 0 lim (\frac{2 - 2 cos ( x )}{x})

\int_{a}^{b} x d x