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Beliebt Rechnen >

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

Lösung

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

Lösung

\frac{2 x ^{3}}{3} - \frac{3 x ^{2}}{2} + 2 x + C

Schritte zur Lösung

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

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

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

\int 2 d x = 2 x

= \frac{2 x ^{3}}{3} - \frac{3 x ^{2}}{2} + 2 x

Füge eine Konstante zur Lösung hinzu

= \frac{2 x ^{3}}{3} - \frac{3 x ^{2}}{2} + 2 x + C

Graph

Beliebte Beispiele

derivative y=(e^{2x})^2

d er i v a t i v e y = (e^{2 x})^{2}

derivative of x^2+3y^2-3

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

\frac{d y}{d t} + 5 y = 0

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

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

limit as x approaches 3+of (x^2+1)/(x-3)

x \to 3 + lim (\frac{x ^{2} + 1}{x - 3})