de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

integral of 5x+2/x

Lösung

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

Lösung

\frac{5 x ^{2}}{2} + 2 ln ∣ x ∣ + C

Schritte zur Lösung

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

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

\int \frac{2}{x} d x = 2 ln ∣ x ∣

= \frac{5 x ^{2}}{2} + 2 ln ∣ x ∣

Füge eine Konstante zur Lösung hinzu

= \frac{5 x ^{2}}{2} + 2 ln ∣ x ∣ + C

Graph

Beliebte Beispiele

integral of (x+8)/(x^3+48x-49)

\int \frac{x + 8}{x ^{3} + 48 x - 49} d x

integral of (8z+4z^3-6z^2)

\int (8 z + 4 z^{3} - 6 z^{2}) d z

integral of y^2sqrt(y+3)

\int y^{2} y + 3 d y

integral of 1/(sqrt(1+p^2))

\int \frac{1}{1 + p ^{2}} d p

integral of 15t^2e^{-t^3}

\int 15 t^{2} e^{- t^{3}} d t