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Beliebt Rechnen >

integral of 3sin(3x)+2cos(4x)

Lösung

\int 3 sin (3 x) + 2 cos (4 x) d x

Lösung

- cos (3 x) + \frac{1}{2} sin (4 x) + C

Schritte zur Lösung

\int 3 sin (3 x) + 2 cos (4 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 3 sin (3 x) d x + \int 2 cos (4 x) d x

\int 3 sin (3 x) d x = - cos (3 x)

\int 2 cos (4 x) d x = \frac{1}{2} sin (4 x)

= - cos (3 x) + \frac{1}{2} sin (4 x)

Füge eine Konstante zur Lösung hinzu

= - cos (3 x) + \frac{1}{2} sin (4 x) + C

Graph

Beliebte Beispiele

y^{'''}+2y^{''}-y^'-2y=sin(3t)

y^{^{'''}} + 2 y^{^{''}} - y^{^{'}} - 2 y = sin (3 t)

derivative (3x)/(sqrt(x))

d er i v a t i v e \frac{3 x}{x}

integral of-x^3-8x+5

\int - x^{3} - 8 x + 5 d x

limit as x approaches 0 of 1/(x+x^5)

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

fläche 2x^2-x^3,y=0

a re a 2 x^{2} - x^{3}, y = 0