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Beliebt Rechnen >

integral of 2+3x^2-8x^3

Lösung

\int 2 + 3 x^{2} - 8 x^{3} d x

Lösung

2 x + x^{3} - 2 x^{4} + C

Schritte zur Lösung

\int 2 + 3 x^{2} - 8 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 2 d x + \int 3 x^{2} d x - \int 8 x^{3} d x

\int 2 d x = 2 x

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

\int 8 x^{3} d x = 2 x^{4}

= 2 x + x^{3} - 2 x^{4}

Füge eine Konstante zur Lösung hinzu

= 2 x + x^{3} - 2 x^{4} + C

Graph

Beliebte Beispiele

tangent f(x)=-4-3x^2,(2,-16)

t an g e n t f (x) = - 4 - 3 x^{2}, (2, - 16)

integral from-45 to 0 of 1/(sqrt(4-x))

\int_{- 45}^{0} \frac{1}{4 - x} d x

integral of (6x^2-3x+3)

\int (6 x^{2} - 3 x + 3) d x

derivative of cos(2-3x)

\frac{d}{d x} (cos (2 - 3 x))

(dy)/(dx)=9-y/(6x+250)

\frac{d y}{d x} = 9 - \frac{y}{6 x + 250}