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Beliebt Rechnen >

integral of y^2cos(x)-sin(x)

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

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

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

Vereinfache

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

fläche-5,2,2x^2+3,0

a re a - 5, 2, 2 x^{2} + 3, 0

limit as x approaches 0 of (12^x-5^x)/x

x \to 0 lim (\frac{1 2 ^{x} - 5 ^{x}}{x})

derivative of (2x/(sqrt(4x^2+4)))

\frac{d}{d x} (\frac{2 x}{4 x ^{2} + 4})

integral of (6x^3+3x^2)

\int (6 x^{3} + 3 x^{2}) d x

derivative ln(sec(x))

d er i v a t i v e ln (sec (x))