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Beliebt Rechnen >

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

Lösung

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

Lösung

ln ∣ x ∣ + y^{2} x^{2} + C

Schritte zur Lösung

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

\int \frac{1}{x} d x = ln ∣ x ∣

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

= ln ∣ x ∣ + y^{2} x^{2}

Füge eine Konstante zur Lösung hinzu

= ln ∣ x ∣ + y^{2} x^{2} + C

Graph

Beliebte Beispiele

derivative y=sqrt(9-x^2)

d er i v a t i v e y = 9 - x^{2}

integral of 18x^2

\int 18 x^{2} d x

limit as h approaches 0 of 8

h \to 0 lim (8)

integral of csc(2x)cot(2x)

\int csc (2 x) cot (2 x) d x

integral from 0 to pi of sin(x)cos(nx)

\int_{0}^{π} sin (x) cos (n x) d x