de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of 2x+4/x

Lösung

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

Lösung

x^{2} + 4 ln ∣ x ∣ + C

Schritte zur Lösung

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

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

\int \frac{4}{x} d x = 4 ln ∣ x ∣

= x^{2} + 4 ln ∣ x ∣

Füge eine Konstante zur Lösung hinzu

= x^{2} + 4 ln ∣ x ∣ + C

Graph

Beliebte Beispiele

limit as x approaches 1 of-1/x

x \to 1 lim (- \frac{1}{x})

integral from 1 to 2 of (2x-4)^4

\int_{1}^{2} (2 x - 4)^{4} d x

y^'-2/t y=t^2e^t,y(1)=3

y^{^{'}} - \frac{2}{t} y = t^{2} e^{t}, y (1) = 3

derivative 5^{x^2}

d er i v a t i v e 5^{x^{2}}

(1-x^3)y^'-2(1+x)y=y^{5/2}

(1 - x^{3}) y^{^{'}} - 2 (1 + x) y = y^{\frac{5}{2}}