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Beliebt Rechnen >

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

Lösung

\int cos (2 x) + sin (x) d x

Lösung

\frac{1}{2} sin (2 x) - cos (x) + C

Schritte zur Lösung

\int cos (2 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 cos (2 x) d x + \int sin (x) d x

\int cos (2 x) d x = \frac{1}{2} sin (2 x)

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

= \frac{1}{2} sin (2 x) - cos (x)

Füge eine Konstante zur Lösung hinzu

= \frac{1}{2} sin (2 x) - cos (x) + C

Graph

Beliebte Beispiele

integral of 10000-x^2

\int 10000 - x^{2} d x

fläche y=x^2-4x,y=-2x

a re a y = x^{2} - 4 x, y = - 2 x

limit as x approaches 2 of-2x^2

x \to 2 lim (- 2 x^{2})

fläche 4x^2,sqrt(1/4 x)

a re a 4 x^{2}, \frac{1}{4} x

derivative of tanh(ln(x))

\frac{d}{d x} (tanh (ln (x)))