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Beliebt Rechnen >

integral of 1/x-3

Lösung

\int \frac{1}{x} - 3 d x

Lösung

ln ∣ x ∣ - 3 x + C

Schritte zur Lösung

\int \frac{1}{x} - 3 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 3 d x

\int \frac{1}{x} d x = ln ∣ x ∣

\int 3 d x = 3 x

= ln ∣ x ∣ - 3 x

Füge eine Konstante zur Lösung hinzu

= ln ∣ x ∣ - 3 x + C

Graph

Beliebte Beispiele

integral of 48(1+x^2)(7+12x+4x^3)^{12}

\int 48 (1 + x^{2}) (7 + 12 x + 4 x^{3})^{12} d x

integral of x^2x^2

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

integral of 2^t(1+5^t)

\int 2^{t} (1 + 5^{t}) d t

integral of sqrt(9-r^2)

\int 9 - r^{2} d r

integral of-x^4e^{x^5}

\int - x^{4} e^{x^{5}} d x