integral of 11ln(\sqrt[3]{x})

Lösung

\int 11 ln (3 x) d x

11 (\frac{1}{3} x ln (x) - \frac{1}{3} x) + C

Schritte zur Lösung

\int 11 ln (3 x) d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 11 \cdot \int ln (3 x) d x

Wende die partielle Integration an

= 11 (x ln (3 x) - \int \frac{1}{3} d x)

\int \frac{1}{3} d x = \frac{1}{3} x

= 11 (x ln (3 x) - \frac{1}{3} x)

Vereinfache

ln (3 x) : \frac{1}{3} ln (x)

= 11 (\frac{1}{3} x ln (x) - \frac{1}{3} x)

Füge eine Konstante zur Lösung hinzu

= 11 (\frac{1}{3} x ln (x) - \frac{1}{3} x) + C

y^{^{'}} = y (4 - t y)

\frac{d}{d x} (cos^{2} (x) + sin^{2} (x))

d er i v a t i v e f (x) = \frac{56}{x ^{9}}

x \to 0 lim (x^{2} - 3)

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