integral of 3/(sqrt(x))+(xsqrt(x))/4+C

Lösung

\int \frac{3}{x} + \frac{x x}{4} + C d x

6 x + \frac{1}{10} x^{\frac{5}{2}} + C x + C

Schritte zur Lösung

\int \frac{3}{x} + \frac{x x}{4} + 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 \frac{3}{x} d x + \int \frac{x x}{4} d x + \int C d x

\int \frac{3}{x} d x = 6 x

\int \frac{x x}{4} d x = \frac{1}{10} x^{\frac{5}{2}}

\int C d x = C x

= 6 x + \frac{1}{10} x^{\frac{5}{2}} + C x

Füge eine Konstante zur Lösung hinzu

= 6 x + \frac{1}{10} x^{\frac{5}{2}} + C x + C

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

t an g e n t 3 x^{3} - 6 x^{2} + 4 x + 21

x \to 0 lim (\frac{18}{x ^{2}})

\frac{\partial}{\partial x} (3 x^{2} - 24 y)

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