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Beliebt Rechnen >

integral of 4x+sqrt(x)

Lösung

\int 4 x + x d x

Lösung

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

Schritte zur Lösung

\int 4 x + x 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 4 x d x + \int x d x

\int 4 x d x = 2 x^{2}

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

steigung 5x^3+10x^2-2x+1

s l o p e 5 x^{3} + 10 x^{2} - 2 x + 1

derivative x^2-2x+1

d er i v a t i v e x^{2} - 2 x + 1

2xy+6x+(x^2-4)y^'=0

2 x y + 6 x + (x^{2} - 4) y^{^{'}} = 0

derivative y=(9sqrt(x)+5)x^2

d er i v a t i v e y = (9 x + 5) x^{2}

sum from n=1 to infinity of (1^n)/(n+2)

n = 1 \sum \infty \frac{1 ^{n}}{n + 2}