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Beliebt Rechnen >

integral of 6-sqrt(x)

Lösung

\int 6 - x d x

Lösung

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

Schritte zur Lösung

\int 6 - 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 6 d x - \int x d x

\int 6 d x = 6 x

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

= 6 x - \frac{2}{3} x^{\frac{3}{2}}

Füge eine Konstante zur Lösung hinzu

= 6 x - \frac{2}{3} x^{\frac{3}{2}} + C

Graph

Beliebte Beispiele

integral of x(x+4)(2x-1)

\int x (x + 4) (2 x - 1) d x

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\int \frac{1}{( x ln ( x ) )} d x

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\int \frac{( 2 x + 3 )}{x ^{2} + 2 x + 5} d x

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\int (\frac{3 x ^{2} + 6 x + 1}{x}) d x