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Beliebt Rechnen >

integral of x^2+kx+1

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

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

\int 1 d x = x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

tangent 12(x-1/x)^4,\at x=2

t an g e n t 12 (x - \frac{1}{x})^{4}, at x = 2

derivative of 5+4x-x^3

\frac{d}{d x} (5 + 4 x - x^{3})

fläche x^2-1,-1,6

a re a x^{2} - 1, - 1, 6

derivative y=(5x^4-3x^3)(3x^2-7x^3)

d er i v a t i v e y = (5 x^{4} - 3 x^{3}) (3 x^{2} - 7 x^{3})

integral of (3z^2)/y

\int \frac{3 z ^{2}}{y} d y