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Beliebt Rechnen >

integral of 2(x+y)

Lösung

\int 2 (x + y) d x

Lösung

2 y x + x^{2} + C

Schritte zur Lösung

\int 2 (x + y) d x

Entferne die Konstante:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int y + 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

= 2 (\int y d x + \int x d x)

\int y d x = y x

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

= 2 (y x + \frac{x ^{2}}{2})

Vereinfache

2 (y x + \frac{x ^{2}}{2}) : 2 y x + x^{2}

= 2 y x + x^{2}

Füge eine Konstante zur Lösung hinzu

= 2 y x + x^{2} + C

Graph

Beliebte Beispiele

(d^2)/(dx^2)(xsin(x))

\frac{d ^{2}}{d x ^{2}} (x sin (x))

(\partial)/(\partial x)(cos(y^2-2x))

\frac{\partial}{\partial x} (cos (y^{2} - 2 x))

derivative (x+1)/(x-1)

d er i v a t i v e \frac{x + 1}{x - 1}

(\partial)/(\partial x)(log_{10}(xy))

\frac{\partial}{\partial x} (lo g_{10} (x y))

fläche y=x^2-2x,y=-x^2+4x

a re a y = x^{2} - 2 x, y = - x^{2} + 4 x