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Beliebt Rechnen >

integral of-3x^2+1/x

Lösung

\int - 3 x^{2} + \frac{1}{x} d x

Lösung

- x^{3} + ln ∣ x ∣ + C

Schritte zur Lösung

\int - 3 x^{2} + \frac{1}{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 3 x^{2} d x + \int \frac{1}{x} d x

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

\int \frac{1}{x} d x = ln ∣ x ∣

= - x^{3} + ln ∣ x ∣

Füge eine Konstante zur Lösung hinzu

= - x^{3} + ln ∣ x ∣ + C

Graph

Beliebte Beispiele

integral of 5/(x(ln(x))^3)

\int \frac{5}{x ( ln ( x ) ) ^{3}} d x

integral of (sec^2(x))/(sqrt(25-tan^2(x)))

\int \frac{sec ^{2} ( x )}{25 - tan ^{2} ( x )} d x

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

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

integral of e^{sqrt(t)}

\int e^{t} d t

integral of 3/(sqrt(9-4x^2))

\int \frac{3}{9 - 4 x ^{2}} d x