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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

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

\int 2 d x = 2 x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

derivative of (48/((1-2x)^4))

\frac{d}{d x} (\frac{48}{( 1 - 2 x ) ^{4}})

derivative of ln(x+sqrt(2+x^2))

\frac{d}{d x} (ln (x + 2 + x^{2}))

xy^2y^'=x^3+y^3

x y^{2} y^{^{'}} = x^{3} + y^{3}

integral from 0 to pi/6 of ln(sec(x))

\int_{0}^{\frac{π}{6}} ln (sec (x)) d x

laplacetransform f(t)=t^3

l a pl a ce t r an s f or m f (t) = t^{3}