integral of 2/5-9/x

Lösung

\int \frac{2}{5} - \frac{9}{x} d x

\frac{2}{5} x - 9 ln ∣ x ∣ + C

Schritte zur Lösung

\int \frac{2}{5} - \frac{9}{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 \frac{2}{5} d x - \int \frac{9}{x} d x

\int \frac{2}{5} d x = \frac{2}{5} x

\int \frac{9}{x} d x = 9 ln ∣ x ∣

= \frac{2}{5} x - 9 ln ∣ x ∣

Füge eine Konstante zur Lösung hinzu

= \frac{2}{5} x - 9 ln ∣ x ∣ + C

x d y - (y + x^{3} e^{x^{2}}) d x = 0

\int cot (10 x) csc^{4} (10 x) d x

\frac{d ^{2}}{d x ^{2}} ((x^{2} + 5)^{7})

\frac{\partial}{\partial x} (2 x + y)

\frac{\partial}{\partial x} (4 (y + 3)^{3} (x - 4))