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Beliebt Rechnen >

integral of (4x^2-2/x)

Lösung

\int (4 x^{2} - \frac{2}{x}) d x

Lösung

\frac{4 x ^{3}}{3} - 2 ln ∣ x ∣ + C

Schritte zur Lösung

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

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

\int \frac{2}{x} d x = 2 ln ∣ x ∣

= \frac{4 x ^{3}}{3} - 2 ln ∣ x ∣

Füge eine Konstante zur Lösung hinzu

= \frac{4 x ^{3}}{3} - 2 ln ∣ x ∣ + C

Graph

Beliebte Beispiele

derivative f(x)=-x^2+1

d er i v a t i v e f (x) = - x^{2} + 1

integral of sqrt(1+4x^2)

\int 1 + 4 x^{2} d x

integral of x^2e^{x/2}

\int x^{2} e^{\frac{x}{2}} d x

integral of (3ln(x))/(x^2)

\int \frac{3 ln ( x )}{x ^{2}} d x

integral of (y^2)/y

\int \frac{y ^{2}}{y} d y