integral of (2/(sqrt(x))+2sqrt(x))

Lösung

\int (\frac{2}{x} + 2 x) d x

4 x + \frac{4}{3} x^{\frac{3}{2}} + C

Schritte zur Lösung

\int \frac{2}{x} + 2 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}{x} d x + \int 2 x d x

\int \frac{2}{x} d x = 4 x

\int 2 x d x = \frac{4}{3} x^{\frac{3}{2}}

= 4 x + \frac{4}{3} x^{\frac{3}{2}}

Füge eine Konstante zur Lösung hinzu

= 4 x + \frac{4}{3} x^{\frac{3}{2}} + C

\int_{- 1}^{1} (\frac{2}{x ^{2} + 1}) d x

\int e^{- 0.4 x} d x

x \to - 2 lim (\frac{x + 2}{x ^{3} + 8})

z \to 2 lim (6 z - 1)

7 y^{^{''}} + 2 y^{^{'}} = 0