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Beliebt Rechnen >

integral of 2sin(x)+cos(x)-3

Lösung

\int 2 sin (x) + cos (x) - 3 d x

Lösung

- 2 cos (x) + sin (x) - 3 x + C

Schritte zur Lösung

\int 2 sin (x) + cos (x) - 3 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 2 sin (x) d x + \int cos (x) d x - \int 3 d x

\int 2 sin (x) d x = - 2 cos (x)

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

\int 3 d x = 3 x

= - 2 cos (x) + sin (x) - 3 x

Füge eine Konstante zur Lösung hinzu

= - 2 cos (x) + sin (x) - 3 x + C

Graph

Beliebte Beispiele

\frac{d}{d y} (e^{- y})

inverselaplace x^{1/2}

in v erse l a pl a ce x^{\frac{1}{2}}

derivative y=5e^{(6x+7)}

d er i v a t i v e y = 5 e^{(6 x + 7)}

integral of e^{-x}(1+e^{-x})^3

\int e^{- x} (1 + e^{- x})^{3} d x

derivative f(x)=sqrt(2-x^2)

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