integral of (3x-2)

Lösung

\int (3 x - 2) d x

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

Schritte zur Lösung

\int 3 x - 2 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 2 d x

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

\int 2 d x = 2 x

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

Füge eine Konstante zur Lösung hinzu

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

\frac{d}{d u} (u + v)

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

\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