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Beliebt Rechnen >

integral of (y^2e^{xy}+cos(x))

Lösung

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

Lösung

sin (x) + y e^{y x} + C

Schritte zur Lösung

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

\int cos (x) d x = sin (x)

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

= sin (x) + y e^{y x}

Füge eine Konstante zur Lösung hinzu

= sin (x) + y e^{y x} + C

Graph

Beliebte Beispiele

derivative 5x-4

d er i v a t i v e 5 x - 4

integral of y/(y+6)

\int \frac{y}{y + 6} d y

integral of 2x(x^2-1)^2

\int 2 x (x^{2} - 1)^{2} d x

fläche x=20-5y^2,x=5y^2-20

a re a x = 20 - 5 y^{2}, x = 5 y^{2} - 20

limit as x approaches 3 of 3/(9-x^2)

x \to 3 lim (\frac{3}{9 - x ^{2}})