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Beliebt Rechnen >

integral of 3x^4+2x^2-x/2

Lösung

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

Lösung

\frac{3 x ^{5}}{5} + \frac{2 x ^{3}}{3} - \frac{x ^{2}}{4} + C

Schritte zur Lösung

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

\int 3 x^{4} d x = \frac{3 x ^{5}}{5}

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

\int \frac{x}{2} d x = \frac{x ^{2}}{4}

= \frac{3 x ^{5}}{5} + \frac{2 x ^{3}}{3} - \frac{x ^{2}}{4}

Füge eine Konstante zur Lösung hinzu

= \frac{3 x ^{5}}{5} + \frac{2 x ^{3}}{3} - \frac{x ^{2}}{4} + C

Graph

Beliebte Beispiele

limit as x approaches-2 of sqrt((x^2+5))

x \to - 2 lim ((x^{2} + 5))

integral of (-2)/(sqrt(x))

\int \frac{- 2}{x} d x

integral from-infinity to 0 of 1/(9+x^2)

\int_{- \infty}^{0} \frac{1}{9 + x ^{2}} d x

steigung (-1,4),(5,-1)

s l o p e (- 1, 4), (5, - 1)

y^{^{'}} = ry ln (\frac{k}{y})