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Beliebt Rechnen >

integral of (10-5x)

Lösung

\int (10 - 5 x) d x

Lösung

10 x - \frac{5 x ^{2}}{2} + C

Schritte zur Lösung

\int 10 - 5 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 10 d x - \int 5 x d x

\int 10 d x = 10 x

\int 5 x d x = \frac{5 x ^{2}}{2}

= 10 x - \frac{5 x ^{2}}{2}

Füge eine Konstante zur Lösung hinzu

= 10 x - \frac{5 x ^{2}}{2} + C

Graph

Beliebte Beispiele

x^2y^{''}+3xy^'+5y=0

x^{2} y^{^{''}} + 3 x y^{^{'}} + 5 y = 0

(\partial)/(\partial y)(xe^{x^3})

\frac{\partial}{\partial y} (x e^{x^{3}})

derivative y=2x-1

d er i v a t i v e y = 2 x - 1

integral of (5x)/((x-2)^2)

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

d/(dθ)(tan(θ/2))

\frac{d}{d θ} (tan (\frac{θ}{2}))