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Beliebt Rechnen >

integral of 3sin(x)+2-3e^x

Lösung

\int 3 sin (x) + 2 - 3 e^{x} d x

Lösung

- 3 cos (x) + 2 x - 3 e^{x} + C

Schritte zur Lösung

\int 3 sin (x) + 2 - 3 e^{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 (x) d x + \int 2 d x - \int 3 e^{x} d x

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

\int 2 d x = 2 x

\int 3 e^{x} d x = 3 e^{x}

= - 3 cos (x) + 2 x - 3 e^{x}

Füge eine Konstante zur Lösung hinzu

= - 3 cos (x) + 2 x - 3 e^{x} + C

Graph

Beliebte Beispiele

fläche f(x)=4x(1-x),g(x)=4x-4

a re a f (x) = 4 x (1 - x), g (x) = 4 x - 4

derivative of 5x+(100/x)

\frac{d}{d x} (5 x + \frac{100}{x})

limit as x approaches 2 of (x+2)/(x-2)

x \to 2 lim (\frac{x + 2}{x - 2})

derivative of 5/3

\frac{d}{d x} (\frac{5}{3})

derivative of (x^6/(12)ln(x)-(x^6)/(72))

\frac{d}{d x} (\frac{x ^{6}}{12} ln (x) - \frac{x ^{6}}{72})