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Beliebt Rechnen >

integral of (-2sin(x)+4cos(x))

Lösung

\int (- 2 sin (x) + 4 cos (x)) d x

Lösung

2 cos (x) + 4 sin (x) + C

Schritte zur Lösung

\int - 2 sin (x) + 4 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 2 sin (x) d x + \int 4 cos (x) d x

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

\int 4 cos (x) d x = 4 sin (x)

= - (- 2 cos (x)) + 4 sin (x)

Vereinfache

= 2 cos (x) + 4 sin (x)

Füge eine Konstante zur Lösung hinzu

= 2 cos (x) + 4 sin (x) + C

Graph

Beliebte Beispiele

integral of xe^{-(x+y)}

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

derivative of (7-3x(x+5))

\frac{d}{d x} ((7 - 3 x) (x + 5))

y^{^{'}} + 3 y = cos (x)

4y^{''}+y^'+8y=0

4 y^{^{''}} + y^{^{'}} + 8 y = 0

derivative of sqrt(x)+1/(x^2+x^3)

\frac{d}{d x} (x + \frac{1}{x ^{2}} + x^{3})