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Beliebt Rechnen >

integral of (2xsin(y)-ysin(x))

Lösung

\int (2 x sin (y) - y sin (x)) d x

Lösung

y cos (x) + x^{2} sin (y) + C

Schritte zur Lösung

\int 2 x sin (y) - y sin (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 sin (x) y d x + \int 2 sin (y) x d x

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

\int 2 sin (y) x d x = x^{2} sin (y)

= - (- y cos (x)) + x^{2} sin (y)

Vereinfache

= y cos (x) + x^{2} sin (y)

Füge eine Konstante zur Lösung hinzu

= y cos (x) + x^{2} sin (y) + C

Graph

Beliebte Beispiele

derivative of (8x^2-14xe^x)

\frac{d}{d x} ((8 x^{2} - 14 x) e^{x})

integral from 1 to 25 of e^{sqrt(x)}

\int_{1}^{25} e^{x} d x

derivative of ln((x+3^4))

\frac{d}{d x} (ln ((x + 3)^{4}))

y^{''}+4y^'-12y=0

y^{^{''}} + 4 y^{^{'}} - 12 y = 0

derivative (x^2-7)sqrt(x)

d er i v a t i v e (x^{2} - 7) x