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Beliebt Rechnen >

integral of (3x^2+2x+1)

Lösung

\int (3 x^{2} + 2 x + 1) d x

Lösung

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

Schritte zur Lösung

\int 3 x^{2} + 2 x + 1 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 2 x d x + \int 1 d x

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

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

\int 1 d x = x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

(\partial)/(\partial z)(2xz)

\frac{\partial}{\partial z} (2 x z)

integral of (e^{1/x})/(x^2)

\int \frac{e ^{\frac{1}{x}}}{x ^{2}} d x

(\partial)/(\partial x)(sqrt(3x^2+2y^2))

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

fläche y=x^2-3x,y=4x

a re a y = x^{2} - 3 x, y = 4 x

(x^2+1)(dy)/(dx)+7x(y-1)=0,y(0)=9

(x^{2} + 1) \frac{d y}{d x} + 7 x (y - 1) = 0, y (0) = 9