integral of 12log_{11}(x)

Lösung

\int 12 lo g_{11} (x) d x

12 (x lo g_{11} (x) - \frac{1}{ln ( 11 )} x) + C

Schritte zur Lösung

\int 12 lo g_{11} (x) d x

Entferne die Konstante:

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

= 12 \cdot \int lo g_{11} (x) d x

Wende die partielle Integration an

= 12 (x lo g_{11} (x) - \int \frac{1}{ln ( 11 )} d x)

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

= 12 (x lo g_{11} (x) - \frac{1}{ln ( 11 )} x)

Füge eine Konstante zur Lösung hinzu

= 12 (x lo g_{11} (x) - \frac{1}{ln ( 11 )} x) + C

\int \frac{( 3 - x ) ( 5 + x )}{x ^{4}} d x

d er i v a t i v e f (x) = \frac{e ^{3 x}}{x ^{6}}

(5 x + y e^{\frac{y}{x}}) d x - x e^{\frac{y}{x}} d y = 0, y (1) = 4

y^{^{'}} + 2 x y = x^{2}

d er i v a t i v e f (x) = \frac{4 x ^{3} - 2 x + 1}{x ^{2}}