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Beliebt Rechnen >

integral of (-3sqrt(x)+4x)

Lösung

\int (- 3 x + 4 x) d x

Lösung

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

Schritte zur Lösung

\int - 3 x + 4 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 4 x d x

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

d y - (y - 7)^{2} d x = 0

integral of e^{4x}cos(2x)

\int e^{4 x} cos (2 x) d x

(\partial)/(\partial y)((sin(mx+ny))^2)

\frac{\partial}{\partial y} ((sin (m x + n y))^{2})

integral of 2e^{-x^2}

\int 2 e^{- x^{2}} d x

derivative of 1/6 (2x+1^3)

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