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Beliebt Rechnen >

integral of x^2+x+2

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

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

\int 2 d x = 2 x

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of (13t^7+t^5)/(t^{3/2)}

\int \frac{13 t ^{7} + t ^{5}}{t ^{\frac{3}{2}}} d t

limit as x approaches 0 of x^{x^2}

x \to 0 lim (x^{x^{2}})

y^{^{'}} + 0.15 y = 1

(2x^2+y)dx+(x^2y-x)dy=0

(2 x^{2} + y) d x + (x^{2} y - x) d y = 0

integral of 1/(2x^2+8)

\int \frac{1}{2 x ^{2} + 8} d x