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Beliebt Rechnen >

integral of 1/x+2x

Lösung

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

Lösung

ln ∣ x ∣ + x^{2} + C

Schritte zur Lösung

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

\int \frac{1}{x} d x = ln ∣ x ∣

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

= ln ∣ x ∣ + x^{2}

Füge eine Konstante zur Lösung hinzu

= ln ∣ x ∣ + x^{2} + C

Graph

Beliebte Beispiele

(\partial)/(\partial x)(4sin(4x))

\frac{\partial}{\partial x} (4 sin (4 x))

derivative of arccos(x+y)

\frac{d}{d x} (arccos (x + y))

tangent f(x)=3x^2,\at x=(6)

t an g e n t f (x) = 3 x^{2}, at x = (6)

limit as x approaches 1+of 1/(x^3-1)

x \to 1 + lim (\frac{1}{x ^{3} - 1})

derivative f(x)=tan^3(x)

d er i v a t i v e f (x) = tan^{3} (x)