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Beliebt Rechnen >

integral of 3x^2-24x+48

Lösung

\int 3 x^{2} - 24 x + 48 d x

Lösung

x^{3} - 12 x^{2} + 48 x + C

Schritte zur Lösung

\int 3 x^{2} - 24 x + 48 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 24 x d x + \int 48 d x

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

\int 24 x d x = 12 x^{2}

\int 48 d x = 48 x

= x^{3} - 12 x^{2} + 48 x

Füge eine Konstante zur Lösung hinzu

= x^{3} - 12 x^{2} + 48 x + C

Graph

Beliebte Beispiele

derivative of 3x^4-8x^3+2

\frac{d}{d x} (3 x^{4} - 8 x^{3} + 2)

derivative log_{6}(x)

d er i v a t i v e lo g_{6} (x)

y^{^{''}} + 2 t = 0

integral from-1 to 2 of-x^2+x+2

\int_{- 1}^{2} - x^{2} + x + 2 d x

tangent f(x)=(2x+4)^{1/5},\at x=1

t an g e n t f (x) = (2 x + 4)^{\frac{1}{5}}, at x = 1