integral of-x+6

Lösung

\int - x + 6 d x

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

Schritte zur Lösung

\int - 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 x d x + \int 6 d x

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

\int 6 d x = 6 x

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

Füge eine Konstante zur Lösung hinzu

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

\int (\frac{e ^{3 x}}{3} + 3 x \cdot 2^{x^{2}} - x^{4}) d x

\frac{d}{d x} (cos (6 x + 11))

\frac{d}{d x} (tan (x) + 1)

d er i v a t i v e y = \frac{2}{e ^{x}}

x \to 7 lim (7^{x} + 12 (x))