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Beliebt Rechnen >

integral of (1/3)x^3-5x

Lösung

\int (\frac{1}{3}) x^{3} - 5 x d x

Lösung

\frac{x ^{4}}{12} - \frac{5 x ^{2}}{2} + C

Schritte zur Lösung

\int \frac{1}{3} x^{3} - 5 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}{3} x^{3} d x - \int 5 x d x

\int \frac{1}{3} x^{3} d x = \frac{x ^{4}}{12}

\int 5 x d x = \frac{5 x ^{2}}{2}

= \frac{x ^{4}}{12} - \frac{5 x ^{2}}{2}

Füge eine Konstante zur Lösung hinzu

= \frac{x ^{4}}{12} - \frac{5 x ^{2}}{2} + C

Graph

Beliebte Beispiele

integral of (6x^2-4x+5)

\int (6 x^{2} - 4 x + 5) d x

integral of 1/(x^3+9x)

\int \frac{1}{x ^{3} + 9 x} d x

tangent 5sec(x),\at x= pi/3

t an g e n t 5 sec (x), at x = \frac{π}{3}

fläche-x^2+3x,2x^3-x^2-5x

a re a - x^{2} + 3 x, 2 x^{3} - x^{2} - 5 x

limit as x approaches 0 of ((x-1))/x

x \to 0 lim (\frac{( x - 1 )}{x})