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Beliebt Rechnen >

integral of-e^y-ycos(xy)

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of (2/(x^6))

\int (\frac{2}{x ^{6}}) d x

integral of (2/x+sin(x))

\int (\frac{2}{x} + sin (x)) d x

integral of 1/(u+u^2)

\int \frac{1}{u + u ^{2}} d u

integral of sin(10w)

\int sin (10 w) d w

integral of 1/(sqrt((x^2+a^2)))

\int \frac{1}{( x ^{2} + a ^{2} )} d x