integral of (3x-6)

Lösung

\int (3 x - 6) d x

\frac{3 x ^{2}}{2} - 6 x + C

Schritte zur Lösung

\int 3 x - 6 d x

Wende die Summenregel an:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 3 x d x - \int 6 d x

\int 3 x d x = \frac{3 x ^{2}}{2}

\int 6 d x = 6 x

= \frac{3 x ^{2}}{2} - 6 x

Füge eine Konstante zur Lösung hinzu

= \frac{3 x ^{2}}{2} - 6 x + C

x \to 5 - lim (\frac{2}{( x - 5 ) ^{3}})

\frac{d}{d x} (\frac{sin ( x )}{3 x ^{2}})

x \to 3 lim (g (x))

d er i v a t i v e g (x) = (x - 4)^{3} + 3 x (x - 4)^{2}

\frac{\partial}{\partial x} (x y e^{- 9 y})