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Beliebt Rechnen >

integral of ((11)/x+x/(11))

Lösung

\int (\frac{11}{x} + \frac{x}{11}) d x

Lösung

11 ln ∣ x ∣ + \frac{x ^{2}}{22} + C

Schritte zur Lösung

\int \frac{11}{x} + \frac{x}{11} 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{11}{x} d x + \int \frac{x}{11} d x

\int \frac{11}{x} d x = 11 ln ∣ x ∣

\int \frac{x}{11} d x = \frac{x ^{2}}{22}

= 11 ln ∣ x ∣ + \frac{x ^{2}}{22}

Füge eine Konstante zur Lösung hinzu

= 11 ln ∣ x ∣ + \frac{x ^{2}}{22} + C

Graph

Beliebte Beispiele

y^{''}-14y^'+53y=0

y^{^{''}} - 14 y^{^{'}} + 53 y = 0

integral of 20cos(10t+pi/6)+2

\int 20 cos (10 t + \frac{π}{6}) + 2 d t

derivative f(x)=-6x

d er i v a t i v e f (x) = - 6 x

derivative of 6(x^2+4^8)

\frac{d}{d x} (6 (x^{2} + 4)^{8})

derivative of (pix/3)

\frac{d}{d x} (\frac{π x}{3})