integral of (2-6x)

Lösung

\int (2 - 6 x) d x

2 x - 3 x^{2} + C

Schritte zur Lösung

\int 2 - 6 x 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 2 d x - \int 6 x d x

\int 2 d x = 2 x

\int 6 x d x = 3 x^{2}

= 2 x - 3 x^{2}

Füge eine Konstante zur Lösung hinzu

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

\int x^{2} 1 - 3 x^{2} d x

\int (1 + sin^{2} (x)) sin (2 x) d x

\int \frac{2 x ^{2} + 6}{x ^{2} + 2 x - 8} d x

\int csch (6 x) d x

\int \frac{3}{( x ^{2} + 1 ) ( x ^{2} + 4 )} d x