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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

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

\int 3 d x = 3 x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of x^2sqrt(7x-5)

\int x^{2} 7 x - 5 d x

t^3(dy)/(dt)+4t^2y=e^{-t}

t^{3} \frac{d y}{d t} + 4 t^{2} y = e^{- t}

integral of (tsqrt(t)+sqrt(t))/(t^2)

\int \frac{t t + t}{t ^{2}} d t

R (a) = (3 a + 1)^{2}

y^'+4y=t^2e^{-4t}

y^{^{'}} + 4 y = t^{2} e^{- 4 t}