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Beliebt Rechnen >

integral of 4x-(x^3)/3

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of (3-2x-4x^2)(1+4x)

\int (3 - 2 x - 4 x^{2}) (1 + 4 x) d x

integral of 10xsin(x)

\int 10 x sin (x) d x

tangent y=5+4x^2

t an g e n t y = 5 + 4 x^{2}

(\partial)/(\partial x)(12x^2y^3)

\frac{\partial}{\partial x} (12 x^{2} y^{3})

limit as x approaches 0+of (e^x+x)^{3/x}

x \to 0 + lim ((e^{x} + x)^{\frac{3}{x}})