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Beliebt Rechnen >

integral of (12sqrt(x)+sqrt(7))

Lösung

\int (12 x + 7) d x

Lösung

8 x^{\frac{3}{2}} + 7 x + C

Schritte zur Lösung

\int 12 x + 7 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 12 x d x + \int 7 d x

\int 12 x d x = 8 x^{\frac{3}{2}}

\int 7 d x = 7 x

= 8 x^{\frac{3}{2}} + 7 x

Füge eine Konstante zur Lösung hinzu

= 8 x^{\frac{3}{2}} + 7 x + C

Graph

Beliebte Beispiele

limit as x approaches 4 of 1/(x-3)

x \to 4 lim (\frac{1}{x - 3})

derivative-(170t)/((t+4)^2)

d er i v a t i v e - \frac{170 t}{( t + 4 ) ^{2}}

limit as x approaches 1+of 3/(1-x)

x \to 1 + lim (\frac{3}{1 - x})

(dy)/(dx)=3x+xy

\frac{d y}{d x} = 3 x + x y

9y^{''}+12y^'+4y=0

9 y^{^{''}} + 12 y^{^{'}} + 4 y = 0