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Beliebt Rechnen >

integral of 3sin(t)+2cos(t)+2

Lösung

\int 3 sin (t) + 2 cos (t) + 2 d t

Lösung

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

Schritte zur Lösung

\int 3 sin (t) + 2 cos (t) + 2 d t

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 (t) d t + \int 2 cos (t) d t + \int 2 d t

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

\int 2 cos (t) d t = 2 sin (t)

\int 2 d t = 2 t

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

Füge eine Konstante zur Lösung hinzu

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

Graph

Beliebte Beispiele

fläche sqrt(x+2), 1/(x+1),[0,2]

a re a x + 2, \frac{1}{x + 1}, [0, 2]

integral of cos^7(x)tan^6(x)

\int cos^{7} (x) tan^{6} (x) d x

integral of (8-4x)e^{2x}

\int (8 - 4 x) e^{2 x} d x

(dy)/(dx)-4tan(2x)y=sin(2x)

\frac{d y}{d x} - 4 tan (2 x) y = sin (2 x)

derivative of px+b

\frac{d}{d x} (p x + b)