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Beliebt Rechnen >

integral of 2xcos(y)-ycos(x)

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

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

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

integral of sqrt((5x)/2)

\int \frac{5 x}{2} d x

integral of xsin(1/11)x

\int x sin (\frac{1}{11}) x d x

integral of (20e^{0.02x})/(1+e^{0.02x)}

\int \frac{20 e ^{0.02 x}}{1 + e ^{0.02 x}} d x

integral of sqrt(x)(5x-3)

\int x (5 x - 3) d x

integral of 2x(2x+3)^2

\int 2 x (2 x + 3)^{2} d x