integral of (ln(x))^2

Lösung

\int (ln (x))^{2} d x

x ln^{2} (x) - 2 (x ln (x) - x) + C

Schritte zur Lösung

\int (ln (x))^{2} d x

Wende die partielle Integration an

= x ln^{2} (x) - \int 2 ln (x) d x

\int 2 ln (x) d x = 2 (x ln (x) - x)

= x ln^{2} (x) - 2 (x ln (x) - x)

Füge eine Konstante zur Lösung hinzu

= x ln^{2} (x) - 2 (x ln (x) - x) + C

\int_{- 1}^{1} ((1) - (x^{2})) d x

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

n = 2 \sum \infty \frac{1}{n 4 ^{n}}

d er i v a t i v e 6 e^{x} cos (x)

d er i v a t i v e f (x) = - \frac{1}{( 5 x + 1 ) ^{2}}