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Beliebt Rechnen >

integral of x-y

Lösung

\int x - y d x

Lösung

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

Schritte zur Lösung

\int x - y 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 y d x + \int x d x

\int y d x = y x

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

limit as x approaches infinity of x^3sin(1/x)

x \to \infty lim (x^{3} sin (\frac{1}{x}))

derivative arctan(6y^5+1)

d er i v a t i v e arctan (6 y^{5} + 1)

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

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

integral of 2xsqrt(x-1)

\int 2 x x - 1 d x

derivative of x(3-2x^5)

\frac{d}{d x} (x (3 - 2 x)^{5})