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Beliebt Rechnen >

integral of 2x+x^2

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of 4x^4e^{2x^5}

\int 4 x^{4} e^{2 x^{5}} d x

integral of 6x^3(-7-3x^4)^2

\int 6 x^{3} (- 7 - 3 x^{4})^{2} d x

integral of 3/(1+2y)

\int \frac{3}{1 + 2 y} d y

integral of (x+3)/(sqrt(x+2))

\int \frac{x + 3}{x + 2} d x

integral of ((12)/(1+x^2))

\int (\frac{12}{1 + x ^{2}}) d x