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Beliebt Rechnen >

integral of 2xy^2+3x^2

Lösung

\int 2 x y^{2} + 3 x^{2} d x

Lösung

x^{3} + y^{2} x^{2} + C

Schritte zur Lösung

\int 2 x y^{2} + 3 x^{2} 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^{2} d x + \int 2 y^{2} x d x

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

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

= x^{3} + y^{2} x^{2}

Füge eine Konstante zur Lösung hinzu

= x^{3} + y^{2} x^{2} + C

Graph

Beliebte Beispiele

(\partial)/(\partial y)(y^2sin(x/y))

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

fläche y=x^3,y=x^2-2x,[-1,1]

a re a y = x^{3}, y = x^{2} - 2 x, [- 1, 1]

derivative 2/3 x^3+x^2-12x+12

d er i v a t i v e \frac{2}{3} x^{3} + x^{2} - 12 x + 12

laplacetransform f(t)=t

l a pl a ce t r an s f or m f (t) = t

y^{^{'}} = e^{5 x + 4 y}