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Beliebt Rechnen >

integral of 4/(x^3)+2/x

Lösung

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

Lösung

- \frac{2}{x ^{2}} + 2 ln ∣ x ∣ + C

Schritte zur Lösung

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

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

\int \frac{2}{x} d x = 2 ln ∣ x ∣

= - \frac{2}{x ^{2}} + 2 ln ∣ x ∣

Füge eine Konstante zur Lösung hinzu

= - \frac{2}{x ^{2}} + 2 ln ∣ x ∣ + C

Graph

Beliebte Beispiele

integral of 2x(x^2+11)^4

\int 2 x (x^{2} + 11)^{4} d x

integral of x/(1+sqrt(2x+1))

\int \frac{x}{1 + 2 x + 1} d x

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

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

integral of sin(6x-5)

\int sin (6 x - 5) d x

integral of-1/((1+x)^2)

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