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Beliebt Rechnen >

integral of 10x^{3/2}+6sqrt(x)-8

Lösung

\int 10 x^{\frac{3}{2}} + 6 x - 8 d x

Lösung

4 x^{\frac{5}{2}} + 4 x^{\frac{3}{2}} - 8 x + C

Schritte zur Lösung

\int 10 x^{\frac{3}{2}} + 6 x - 8 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 10 x^{\frac{3}{2}} d x + \int 6 x d x - \int 8 d x

\int 10 x^{\frac{3}{2}} d x = 4 x^{\frac{5}{2}}

\int 6 x d x = 4 x^{\frac{3}{2}}

\int 8 d x = 8 x

= 4 x^{\frac{5}{2}} + 4 x^{\frac{3}{2}} - 8 x

Füge eine Konstante zur Lösung hinzu

= 4 x^{\frac{5}{2}} + 4 x^{\frac{3}{2}} - 8 x + C

Graph

Beliebte Beispiele

integral of 5/x+sec^2(x)

\int \frac{5}{x} + sec^{2} (x) d x

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

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

v^{'} = v^{2}

limit as x approaches 2 of 2x^2

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

(dx)/(dt)=-x(x+2),x(0)=1

\frac{d x}{d t} = - x (x + 2), x (0) = 1