integral of-cos(x)+Cx+C

Lösung

\int - cos (x) + C x + C d x

- sin (x) + \frac{C x ^{2}}{2} + C x + C

Schritte zur Lösung

\int - cos (x) + C x + C 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 cos (x) d x + \int C x d x + \int C d x

\int cos (x) d x = sin (x)

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

\int C d x = C x

= - sin (x) + \frac{C x ^{2}}{2} + C x

Füge eine Konstante zur Lösung hinzu

= - sin (x) + \frac{C x ^{2}}{2} + C x + C

d er i v a t i v e f (x) = 4 x - 5

\frac{d}{d x} (\frac{9 - x e ^{x}}{x + e ^{x}})

d er i v a t i v e \frac{x ^{2}}{8}

\int_{- 1}^{1} ∣ x ∣ - x d x

\int_{1}^{16} \frac{1}{7 - x} d x