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Beliebt Rechnen >

integral of (1-sin(x))

Lösung

\int (1 - sin (x)) d x

Lösung

x + cos (x) + C

Schritte zur Lösung

\int 1 - 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 1 d x - \int sin (x) d x

\int 1 d x = x

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

= x - (- cos (x))

Vereinfache

= x + cos (x)

Füge eine Konstante zur Lösung hinzu

= x + cos (x) + C

Graph

Beliebte Beispiele

tangent y=6tan(x),\at x= pi/3

t an g e n t y = 6 tan (x), at x = \frac{π}{3}

derivative of (tan(x/2-3)/3)

\frac{d}{d x} (\frac{tan ( \frac{x}{2} ) - 3}{3})

normal y=es(s^3+10),(0,10)

n or ma l y = es (s^{3} + 10), (0, 10)

limit as x approaches infinity of 1+e^x

x \to \infty lim (1 + e^{x})

limit as x approaches 2 of ((x-2))/((sqrt(x-1)-\sqrt{3-x))}

x \to 2 lim (\frac{( x - 2 )}{( x - 1 - 3 - x )})