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Beliebt Rechnen >

integral of (3x-sqrt(x))

Lösung

\int (3 x - x) d x

Lösung

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

Schritte zur Lösung

\int 3 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 3 x d x - \int x d x

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

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

\int \frac{x ^{2} - x - 1}{x + 1} d x

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\int \frac{sec ^{2} ( x )}{a + b tan ( x )} d x

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

integral of (3e^{-0.1x})

\int (3 e^{- 0.1 x}) d x